102516560346030 has 64 divisors (see below), whose sum is σ = 257457193616448. Its totient is φ = 26097025443840.

The previous prime is 102516560346029. The next prime is 102516560346103. The reversal of 102516560346030 is 30643065615201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871236091 + ... + 871353750.

It is an arithmetic number, because the mean of its divisors is an integer number (4022768650257).

Almost surely, 2^{102516560346030} is an apocalyptic number.

102516560346030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102516560346030 is an abundant number, since it is smaller than the sum of its proper divisors (154940633270418).

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

102516560346030 is a wasteful number, since it uses less digits than its factorization.

102516560346030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742589941.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 102516560346030 in words is "one hundred two trillion, five hundred sixteen billion, five hundred sixty million, three hundred forty-six thousand, thirty".