102116602152 has 160 divisors (see below), whose sum is σ = 301650967200. Its totient is φ = 32185641600.

The previous prime is 102116602151. The next prime is 102116602193. The reversal of 102116602152 is 251206611201.

102116602152 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 6 + 602 + 1 + 52 = 666.

It is a super-2 number, since 2×102116602152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102116602151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6653127 + ... + 6668457.

It is an arithmetic number, because the mean of its divisors is an integer number (1885318545).

Almost surely, 2^102116602152 is an apocalyptic number.

102116602152 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 102116602152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150825483600).

102116602152 is an abundant number, since it is smaller than the sum of its proper divisors (199534365048).

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

102116602152 is a wasteful number, since it uses less digits than its factorization.

102116602152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15909 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 102116602152 in words is "one hundred two billion, one hundred sixteen million, six hundred two thousand, one hundred fifty-two".