103795815825 has 432 divisors, whose sum is σ = 233424434880. Its totient is φ = 45416816640.

The previous prime is 103795815821. The next prime is 103795815883. The reversal of 103795815825 is 528518597301.

103795815825 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 9 + 58 + 1 + 582 + 5 = 666.

It is not a de Polignac number, because 103795815825 - 2² = 103795815821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103795815821) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 331615869 + ... + 331616181.

It is an arithmetic number, because the mean of its divisors is an integer number (540334340).

Almost surely, 2^103795815825 is an apocalyptic number.

103795815825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103795815825 is an abundant number, since it is smaller than the sum of its proper divisors (129628619055).

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

103795815825 is a wasteful number, since it uses less digits than its factorization.

103795815825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 103795815825 in words is "one hundred three billion, seven hundred ninety-five million, eight hundred fifteen thousand, eight hundred twenty-five".