102912186552 has 256 divisors, whose sum is σ = 314225049600. Its totient is φ = 27464209920.

The previous prime is 102912186551. The next prime is 102912186563. The reversal of 102912186552 is 255681219201.

102912186552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102912186551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22413777 + ... + 22418367.

It is an arithmetic number, because the mean of its divisors is an integer number (1227441600).

Almost surely, 2^102912186552 is an apocalyptic number.

102912186552 is a gapful number since it is divisible by the number (12) 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 102912186552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157112524800).

102912186552 is an abundant number, since it is smaller than the sum of its proper divisors (211312863048).

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

102912186552 is a wasteful number, since it uses less digits than its factorization.

102912186552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 102912186552 in words is "one hundred two billion, nine hundred twelve million, one hundred eighty-six thousand, five hundred fifty-two".