102906141052500 has 240 divisors, whose sum is σ = 344881461355200. Its totient is φ = 26495373744000.

The previous prime is 102906141052483. The next prime is 102906141052537. The reversal of 102906141052500 is 5250141609201.

102906141052500 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 6 + 141 + 0 + 5 + 2 + 500 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 24327594 + ... + 28242593.

It is an arithmetic number, because the mean of its divisors is an integer number (1437006088980).

Almost surely, 2^{102906141052500} is an apocalyptic number.

102906141052500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102906141052500 is an abundant number, since it is smaller than the sum of its proper divisors (241975320302700).

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

102906141052500 is a wasteful number, since it uses less digits than its factorization.

102906141052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52570249 (or 52570226 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 102906141052500 in words is "one hundred two trillion, nine hundred six billion, one hundred forty-one million, fifty-two thousand, five hundred".