107046432 has 72 divisors (see below), whose sum is σ = 310201164. Its totient is φ = 35003904.

The previous prime is 107046431. The next prime is 107046461. The reversal of 107046432 is 234640701.

107046432 is a `hidden beast` number, since 10 + 7 + 0 + 4 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97535376 + 9511056 = 9876^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107046432² = 22917877207861248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107046396 and 107046405.

It is not an unprimeable number, because it can be changed into a prime (107046431) 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, 11758 + ... + 18770.

Almost surely, 2^107046432 is an apocalyptic number.

107046432 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 107046432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155100582).

107046432 is an abundant number, since it is smaller than the sum of its proper divisors (203154732).

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

107046432 is a wasteful number, since it uses less digits than its factorization.

107046432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 107046432 is about 10346.3245647911. The cubic root of 107046432 is about 474.8146009605.

The spelling of 107046432 in words is "one hundred seven million, forty-six thousand, four hundred thirty-two".