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106835274 = 2347137247
BaseRepresentation
bin1100101111000…
…10110101001010
321110000210110000
412113202311022
5204322212044
614333503430
72435041050
oct627426512
9243023400
10106835274
115533aa17
122b941b76
1319197a50
14102901d0
1595a4d69
hex65e2d4a

106835274 has 80 divisors (see below), whose sum is σ = 294674688. Its totient is φ = 28172448.

The previous prime is 106835251. The next prime is 106835279. The reversal of 106835274 is 472538601.

It is a super-2 number, since 2×1068352742 = 22827551541310152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106835279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11119 + ... + 18365.

Almost surely, 2106835274 is an apocalyptic number.

106835274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106835274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147337344).

106835274 is an abundant number, since it is smaller than the sum of its proper divisors (187839414).

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

106835274 is a wasteful number, since it uses less digits than its factorization.

106835274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106835274 is about 10336.1150341896. The cubic root of 106835274 is about 474.5021916745.

The spelling of 106835274 in words is "one hundred six million, eight hundred thirty-five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7247 7371 14494 14742 21741 43482 50729 65223 94211 101458 130446 152187 188422 195669 282633 304374 391338 456561 565266 587007 659477 847899 913122 1174014 1318954 1369683 1695798 1978431 2543697 2739366 3956862 4109049 5087394 5935293 7631091 8218098 11870586 15262182 17805879 35611758 53417637 106835274