102625015864050 has 36 divisors (see below), whose sum is σ = 275719209289290. Its totient is φ = 27366670896960.

The previous prime is 102625015864013. The next prime is 102625015864099. The reversal of 102625015864050 is 50468510526201.

102625015864050 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 501 + 58 + 6 + 40 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 74329520802849 + 28295495061201 = 8621457^2 + 5319351^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102625015863987 and 102625015864005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114027794955 + ... + 114027795854.

Almost surely, 2^{102625015864050} is an apocalyptic number.

102625015864050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102625015864050 is an abundant number, since it is smaller than the sum of its proper divisors (173094193425240).

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

102625015864050 is a wasteful number, since it uses less digits than its factorization.

102625015864050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228055590827 (or 228055590819 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 102625015864050 in words is "one hundred two trillion, six hundred twenty-five billion, fifteen million, eight hundred sixty-four thousand, fifty".