107528512 has 112 divisors (see below), whose sum is σ = 270256000. Its totient is φ = 41306112.

The previous prime is 107528507. The next prime is 107528537. The reversal of 107528512 is 215825701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 215239 + ... + 215737.

It is an arithmetic number, because the mean of its divisors is an integer number (2413000).

Almost surely, 2^107528512 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 107528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135128000).

107528512 is an abundant number, since it is smaller than the sum of its proper divisors (162727488).

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

107528512 is a wasteful number, since it uses less digits than its factorization.

107528512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 107528512 is about 10369.5955562404. The cubic root of 107528512 is about 475.5263041696.

The spelling of 107528512 in words is "one hundred seven million, five hundred twenty-eight thousand, five hundred twelve".