103656753225 has 36 divisors (see below), whose sum is σ = 185678084592. Its totient is φ = 55278444000.

The previous prime is 103656753209. The next prime is 103656753247. The reversal of 103656753225 is 522357656301.

103656753225 is a `hidden beast` number, since 1 + 0 + 36 + 5 + 67 + 532 + 25 = 666.

It is not a de Polignac number, because 103656753225 - 2⁴ = 103656753209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 4581190 + ... + 4603760.

It is an arithmetic number, because the mean of its divisors is an integer number (5157724572).

Almost surely, 2^103656753225 is an apocalyptic number.

103656753225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103656753225 is a deficient number, since it is larger than the sum of its proper divisors (82021331367).

103656753225 is a wasteful number, since it uses less digits than its factorization.

103656753225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42998 (or 42990 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 103656753225 in words is "one hundred three billion, six hundred fifty-six million, seven hundred fifty-three thousand, two hundred twenty-five".