100057152 has 56 divisors (see below), whose sum is σ = 285105856. Its totient is φ = 30786048.

The previous prime is 100057147. The next prime is 100057159. The reversal of 100057152 is 251750001.

It is a super-2 number, since 2×100057152² = 20022867332702208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100057159) by changing a digit.

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, 17548 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (5091176).

Almost surely, 2^100057152 is an apocalyptic number.

100057152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100057152 is an abundant number, since it is smaller than the sum of its proper divisors (185048704).

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

100057152 is a wasteful number, since it uses less digits than its factorization.

100057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115 (or 40105 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 100057152 is about 10002.8571918227. The cubic root of 100057152 is about 464.2472918827.

The spelling of 100057152 in words is "one hundred million, fifty-seven thousand, one hundred fifty-two".