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106870608 = 24321357089
BaseRepresentation
bin1100101111010…
…11011101010000
321110002120220200
412113223131100
5204324324413
614334335200
72435246055
oct627533520
9243076820
10106870608
1155364519
122b95a500
13191aab60
141029d02c
1595b0573
hex65eb750

106870608 has 60 divisors (see below), whose sum is σ = 322101780. Its totient is φ = 32882688.

The previous prime is 106870607. The next prime is 106870651. The reversal of 106870608 is 806078601.

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 77580864 = 5412^2 + 8808^2 .

It is a super-2 number, since 2×1068706082 = 22842653708579328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106870601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26673 + ... + 30416.

It is an arithmetic number, because the mean of its divisors is an integer number (5368363).

Almost surely, 2106870608 is an apocalyptic number.

106870608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106870608 is an abundant number, since it is smaller than the sum of its proper divisors (215231172).

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

106870608 is a wasteful number, since it uses less digits than its factorization.

106870608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57116 (or 57107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 106870608 is about 10337.8241424393. The cubic root of 106870608 is about 474.5544971593.

The spelling of 106870608 in words is "one hundred six million, eight hundred seventy thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 57089 114178 171267 228356 342534 456712 513801 685068 742157 913424 1027602 1370136 1484314 2055204 2226471 2740272 2968628 4110408 4452942 5937256 6679413 8220816 8905884 11874512 13358826 17811768 26717652 35623536 53435304 106870608