100257732 has 18 divisors (see below), whose sum is σ = 253429358. Its totient is φ = 33419232.

The previous prime is 100257701. The next prime is 100257739. The reversal of 100257732 is 237752001.

It can be written as a sum of positive squares in only one way, i.e., 64545156 + 35712576 = 8034^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×100257732² = 20103225651567648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100257696 and 100257705.

It is not an unprimeable number, because it can be changed into a prime (100257739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1392433 + ... + 1392504.

Almost surely, 2^100257732 is an apocalyptic number.

100257732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100257732 is an abundant number, since it is smaller than the sum of its proper divisors (153171626).

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

100257732 is a wasteful number, since it uses less digits than its factorization.

100257732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784947 (or 2784942 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 100257732 is about 10012.8783074598. The cubic root of 100257732 is about 464.5573032630.

The spelling of 100257732 in words is "one hundred million, two hundred fifty-seven thousand, seven hundred thirty-two".