102152586469900 has 144 divisors (see below), whose sum is σ = 239342764332672. Its totient is φ = 37703901312000.

The previous prime is 102152586469891. The next prime is 102152586469919. The reversal of 102152586469900 is 9964685251201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21907635 + ... + 26158165.

It is an arithmetic number, because the mean of its divisors is an integer number (1662102530088).

Almost surely, 2^{102152586469900} is an apocalyptic number.

102152586469900 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 102152586469900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119671382166336).

102152586469900 is an abundant number, since it is smaller than the sum of its proper divisors (137190177862772).

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

102152586469900 is a wasteful number, since it uses less digits than its factorization.

102152586469900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250840 (or 4250833 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 102152586469900 in words is "one hundred two trillion, one hundred fifty-two billion, five hundred eighty-six million, four hundred sixty-nine thousand, nine hundred".