107057632 has 48 divisors (see below), whose sum is σ = 237371904. Its totient is φ = 47088000.

The previous prime is 107057627. The next prime is 107057651. The reversal of 107057632 is 236750701.

It is a super-2 number, since 2×107057632² = 22922673138894848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 107057594 and 107057603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6007 + ... + 15817.

It is an arithmetic number, because the mean of its divisors is an integer number (4945248).

Almost surely, 2^107057632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118685952).

107057632 is an abundant number, since it is smaller than the sum of its proper divisors (130314272).

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

107057632 is a wasteful number, since it uses less digits than its factorization.

107057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 107057632 is about 10346.8658056438. The cubic root of 107057632 is about 474.8311599370.

The spelling of 107057632 in words is "one hundred seven million, fifty-seven thousand, six hundred thirty-two".