107090412 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 28185600.

The previous prime is 107090411. The next prime is 107090413. The reversal of 107090412 is 214090701.

It is an interprime number because it is at equal distance from previous prime (107090411) and next prime (107090413).

It is a super-2 number, since 2×107090412² = 22936712684659488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107090411) 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, 27337 + ... + 31007.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2^107090412 is an apocalyptic number.

107090412 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 107090412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

107090412 is an abundant number, since it is smaller than the sum of its proper divisors (203825172).

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

107090412 is a wasteful number, since it uses less digits than its factorization.

107090412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 107090412 is about 10348.4497389706. The cubic root of 107090412 is about 474.8796178775.

It can be divided in two parts, 1070904 and 12, that added together give a triangular number (1070916 = T₁₄₆₃).

The spelling of 107090412 in words is "one hundred seven million, ninety thousand, four hundred twelve".