107048832 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 32437760.

The previous prime is 107048761. The next prime is 107048857. The reversal of 107048832 is 238840701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×107048832² = 22918904865128448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 107048793 and 107048802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8448 + ... + 16895.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2^107048832 is an apocalyptic number.

107048832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

107048832 is the 8448-th pentagonal number.

It is an amenable number.

107048832 is an abundant number, since it is smaller than the sum of its proper divisors (203161728).

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

107048832 is a wasteful number, since it uses less digits than its factorization.

107048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25371 (or 25359 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 107048832 is about 10346.4405473573. The cubic root of 107048832 is about 474.8181494098.

It can be divided in two parts, 107048 and 832, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 107048832 in words is "one hundred seven million, forty-eight thousand, eight hundred thirty-two".