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106831704 = 23373173281
BaseRepresentation
bin1100101111000…
…01111101011000
321110000121112210
412113201331120
5204322103304
614333435120
72435024460
oct627417530
9243017483
10106831704
1155338271
122b93baa0
1319196235
141028cba0
1595a3c89
hex65e1f58

106831704 has 128 divisors (see below), whose sum is σ = 320532480. Its totient is φ = 29030400.

The previous prime is 106831693. The next prime is 106831709. The reversal of 106831704 is 407138601.

It is a happy number.

It is a super-2 number, since 2×1068317042 = 22826025959087232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106831709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380044 + ... + 380324.

It is an arithmetic number, because the mean of its divisors is an integer number (2504160).

Almost surely, 2106831704 is an apocalyptic number.

106831704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106831704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160266240).

106831704 is an abundant number, since it is smaller than the sum of its proper divisors (213700776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106831704 is a wasteful number, since it uses less digits than its factorization.

106831704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106831704 is about 10335.9423373005. The cubic root of 106831704 is about 474.4969063050.

The spelling of 106831704 in words is "one hundred six million, eight hundred thirty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 124 146 168 186 217 219 248 281 292 372 434 438 511 562 584 651 744 843 868 876 1022 1124 1302 1533 1686 1736 1752 1967 2044 2248 2263 2604 3066 3372 3934 4088 4526 5208 5901 6132 6744 6789 7868 8711 9052 11802 12264 13578 15736 15841 17422 18104 20513 23604 26133 27156 31682 34844 41026 47208 47523 52266 54312 60977 61539 63364 69688 82052 95046 104532 121954 123078 126728 143591 164104 182931 190092 209064 243908 246156 287182 365862 380184 430773 487816 492312 574364 635903 731724 861546 1148728 1271806 1463448 1723092 1907709 2543612 3446184 3815418 4451321 5087224 7630836 8902642 13353963 15261672 17805284 26707926 35610568 53415852 106831704