103805107344 has 45 divisors (see below), whose sum is σ = 290520947353. Its totient is φ = 34600413696.

The previous prime is 103805107313. The next prime is 103805107361. The reversal of 103805107344 is 443701508301.

It is a happy number.

The square root of 103805107344 is 322188.

It is a perfect power (a square), and thus also a powerful number.

103805107344 is a `hidden beast` number, since 1 + 0 + 38 + 0 + 510 + 73 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28421913744 + 75383193600 = 168588^2 + 274560^2 .

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103805107299 and 103805107308.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3852832 + ... + 3879680.

Almost surely, 2^103805107344 is an apocalyptic number.

103805107344 is the 322188-th square number.

It is an amenable number.

103805107344 is an abundant number, since it is smaller than the sum of its proper divisors (186715840009).

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

103805107344 is an frugal number, since it uses more digits than its factorization.

103805107344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53712 (or 26854 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 103805107344 by its sum of digits (36), we get a square (3736983864384 = 1933128²).

103805107344 divided by its sum of digits (36) gives a square (2883475204 = 53698²).

The spelling of 103805107344 in words is "one hundred three billion, eight hundred five million, one hundred seven thousand, three hundred forty-four".