103665456 has 180 divisors, whose sum is σ = 320684832. Its totient is φ = 31229952.

The previous prime is 103665449. The next prime is 103665469. The reversal of 103665456 is 654566301.

103665456 is a `hidden beast` number, since 103 + 6 + 6 + 545 + 6 = 666.

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 103665456.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1955926 + ... + 1955978.

Almost surely, 2^103665456 is an apocalyptic number.

103665456 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 103665456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160342416).

103665456 is an abundant number, since it is smaller than the sum of its proper divisors (217019376).

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

103665456 is a wasteful number, since it uses less digits than its factorization.

103665456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 103665456 is about 10181.6234461897. The cubic root of 103665456 is about 469.7621491557.

The spelling of 103665456 in words is "one hundred three million, six hundred sixty-five thousand, four hundred fifty-six".