107086512 has 120 divisors (see below), whose sum is σ = 307521984. Its totient is φ = 32078592.

The previous prime is 107086501. The next prime is 107086513. The reversal of 107086512 is 215680701.

It is a super-2 number, since 2×107086512² = 22935042104652288, 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 107086512.

It is not an unprimeable number, because it can be changed into a prime (107086513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348663 + ... + 348969.

Almost surely, 2^107086512 is an apocalyptic number.

107086512 is a gapful number since it is divisible by the number (12) 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 107086512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153760992).

107086512 is an abundant number, since it is smaller than the sum of its proper divisors (200435472).

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

107086512 is a wasteful number, since it uses less digits than its factorization.

107086512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 107086512 is about 10348.2613032335. The cubic root of 107086512 is about 474.8738531131.

The spelling of 107086512 in words is "one hundred seven million, eighty-six thousand, five hundred twelve".