102551660511300 has 864 divisors, whose sum is σ = 431827785252864. Its totient is φ = 19659279744000.

The previous prime is 102551660511271. The next prime is 102551660511301. The reversal of 102551660511300 is 3115066155201.

102551660511300 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 1 + 6 + 605 + 11 + 30 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102551660511301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1663931485 + ... + 1663993115.

It is an arithmetic number, because the mean of its divisors is an integer number (499800677376).

Almost surely, 2^{102551660511300} is an apocalyptic number.

102551660511300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102551660511300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913892626432).

102551660511300 is an abundant number, since it is smaller than the sum of its proper divisors (329276124741564).

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

102551660511300 is a wasteful number, since it uses less digits than its factorization.

102551660511300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63529 (or 63519 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 102551660511300 in words is "one hundred two trillion, five hundred fifty-one billion, six hundred sixty million, five hundred eleven thousand, three hundred".