100431936 has 168 divisors, whose sum is σ = 319052448. Its totient is φ = 30201600.

The previous prime is 100431923. The next prime is 100431941. The reversal of 100431936 is 639134001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766591 + ... + 766721.

Almost surely, 2^100431936 is an apocalyptic number.

100431936 is a gapful number since it is divisible by the number (16) 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 100431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159526224).

100431936 is an abundant number, since it is smaller than the sum of its proper divisors (218620512).

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

100431936 is a wasteful number, since it uses less digits than its factorization.

100431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 100431936 is about 10021.5735291420. The cubic root of 100431936 is about 464.8262132404.

Adding to 100431936 its reverse (639134001), we get a palindrome (739565937).

The spelling of 100431936 in words is "one hundred million, four hundred thirty-one thousand, nine hundred thirty-six".