100753312 has 36 divisors (see below), whose sum is σ = 218038338. Its totient is φ = 45795200.

The previous prime is 100753309. The next prime is 100753321. The reversal of 100753312 is 213357001.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 44142736 = 7524^2 + 6644^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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 5 ways as a sum of consecutive naturals, for example, 9139 + ... + 16882.

Almost surely, 2^100753312 is an apocalyptic number.

It is an amenable number.

100753312 is an abundant number, since it is smaller than the sum of its proper divisors (117285026).

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

100753312 is a wasteful number, since it uses less digits than its factorization.

100753312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26053 (or 26034 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 100753312 is about 10037.5949310579. The cubic root of 100753312 is about 465.3214903997.

The spelling of 100753312 in words is "one hundred million, seven hundred fifty-three thousand, three hundred twelve".