100257432 has 128 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 28160000.

The previous prime is 100257431. The next prime is 100257463. The reversal of 100257432 is 234752001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100257431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399307 + ... + 399557.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^100257432 is an apocalyptic number.

100257432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100257432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

100257432 is an abundant number, since it is smaller than the sum of its proper divisors (193675368).

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

100257432 is a wasteful number, since it uses less digits than its factorization.

100257432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 100257432 is about 10012.8633267413. The cubic root of 100257432 is about 464.5568398994.

The spelling of 100257432 in words is "one hundred million, two hundred fifty-seven thousand, four hundred thirty-two".