100123456 has 28 divisors (see below), whose sum is σ = 199196452. Its totient is φ = 49932288.

The previous prime is 100123447. The next prime is 100123501. The reversal of 100123456 is 654321001.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 96825600 = 1816^2 + 9840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25906 + ... + 29518.

It is an arithmetic number, because the mean of its divisors is an integer number (7114159).

Almost surely, 2^100123456 is an apocalyptic number.

100123456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100123456 is a deficient number, since it is larger than the sum of its proper divisors (99072996).

100123456 is an equidigital number, since it uses as much as digits as its factorization.

100123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 100123456 is about 10006.1708960021. The cubic root of 100123456 is about 464.3498154741.

Adding to 100123456 its reverse (654321001), we get a palindrome (754444457).

The spelling of 100123456 in words is "one hundred million, one hundred twenty-three thousand, four hundred fifty-six".