100431840 has 48 divisors (see below), whose sum is σ = 316361808. Its totient is φ = 26781696.

The previous prime is 100431839. The next prime is 100431883. The reversal of 100431840 is 48134001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104137 + ... + 105096.

It is an arithmetic number, because the mean of its divisors is an integer number (6590871).

Almost surely, 2^100431840 is an apocalyptic number.

100431840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431840 is an abundant number, since it is smaller than the sum of its proper divisors (215929968).

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

100431840 is a wasteful number, since it uses less digits than its factorization.

100431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209251 (or 209243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100431840 is about 10021.5687394739. The cubic root of 100431840 is about 464.8260651356.

Adding to 100431840 its reverse (48134001), we get a palindrome (148565841).

The spelling of 100431840 in words is "one hundred million, four hundred thirty-one thousand, eight hundred forty".