103650514704 has 315 divisors, whose sum is σ = 332183138007. Its totient is φ = 31293345600.

The previous prime is 103650514699. The next prime is 103650514753. The reversal of 103650514704 is 407415056301.

The square root of 103650514704 is 321948.

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

103650514704 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 505 + 147 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 382474089 + ... + 382474359.

Almost surely, 2^103650514704 is an apocalyptic number.

103650514704 is the 321948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103650514704

103650514704 is an abundant number, since it is smaller than the sum of its proper divisors (228532623303).

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

103650514704 is an frugal number, since it uses more digits than its factorization.

103650514704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 103650514704 by its sum of digits (36), we get a square (3731418529344 = 1931688²).

103650514704 divided by its sum of digits (36) gives a square (2879180964 = 53658²).

The spelling of 103650514704 in words is "one hundred three billion, six hundred fifty million, five hundred fourteen thousand, seven hundred four".