107564136 has 64 divisors (see below), whose sum is σ = 276981120. Its totient is φ = 34794240.

The previous prime is 107564129. The next prime is 107564147. The reversal of 107564136 is 631465701.

It is a junction number, because it is equal to n+sod(n) for n = 107564097 and 107564106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130606 + ... + 131426.

It is an arithmetic number, because the mean of its divisors is an integer number (4327830).

Almost surely, 2^107564136 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 107564136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138490560).

107564136 is an abundant number, since it is smaller than the sum of its proper divisors (169416984).

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

107564136 is a wasteful number, since it uses less digits than its factorization.

107564136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 107564136 is about 10371.3131280470. The cubic root of 107564136 is about 475.5788120373.

The spelling of 107564136 in words is "one hundred seven million, five hundred sixty-four thousand, one hundred thirty-six".