103953456 has 60 divisors (see below), whose sum is σ = 301711592. Its totient is φ = 34649856.

The previous prime is 103953449. The next prime is 103953497. The reversal of 103953456 is 654359301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103953456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9481 + ... + 17256.

Almost surely, 2^103953456 is an apocalyptic number.

103953456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103953456 is an abundant number, since it is smaller than the sum of its proper divisors (197758136).

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

103953456 is an equidigital number, since it uses as much as digits as its factorization.

103953456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26760 (or 26742 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 103953456 is about 10195.7567644584. The cubic root of 103953456 is about 470.1967728954.

The spelling of 103953456 in words is "one hundred three million, nine hundred fifty-three thousand, four hundred fifty-six".