107137520 has 120 divisors (see below), whose sum is σ = 293293728. Its totient is φ = 36288000.

The previous prime is 107137507. The next prime is 107137543. The reversal of 107137520 is 25731701.

107137520 = T₁₂₉ + T₁₃₀ + ... + T₈₆₃.

It is a super-2 number, since 2×107137520² = 22956896383500800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107137520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591830 + ... + 592010.

Almost surely, 2^107137520 is an apocalyptic number.

107137520 is a gapful number since it is divisible by the number (10) 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 107137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

107137520 is an abundant number, since it is smaller than the sum of its proper divisors (186156208).

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

107137520 is a wasteful number, since it uses less digits than its factorization.

107137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 107137520 is about 10350.7255784317. The cubic root of 107137520 is about 474.9492392663.

The spelling of 107137520 in words is "one hundred seven million, one hundred thirty-seven thousand, five hundred twenty".