103412615625 has 192 divisors, whose sum is σ = 212146421760. Its totient is φ = 49361400000.

The previous prime is 103412615611. The next prime is 103412615653. The reversal of 103412615625 is 526516214301.

103412615625 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 26 + 1 + 5 + 625 = 666.

It is not a de Polignac number, because 103412615625 - 2⁷ = 103412615497 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103412615625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62183544 + ... + 62185206.

It is an arithmetic number, because the mean of its divisors is an integer number (1104929280).

Almost surely, 2^103412615625 is an apocalyptic number.

103412615625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103412615625 is an abundant number, since it is smaller than the sum of its proper divisors (108733806135).

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

103412615625 is an equidigital number, since it uses as much as digits as its factorization.

103412615625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 103412615625 its reverse (526516214301), we get a palindrome (629928829926).

The spelling of 103412615625 in words is "one hundred three billion, four hundred twelve million, six hundred fifteen thousand, six hundred twenty-five".