102479708160 has 360 divisors, whose sum is σ = 367578895320. Its totient is φ = 26380075008.

The previous prime is 102479708153. The next prime is 102479708167. The reversal of 102479708160 is 61807974201.

It is a happy number.

102479708160 is a `hidden beast` number, since 10 + 2 + 479 + 7 + 0 + 8 + 160 = 666.

102479708160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102479708153) and next prime (102479708167).

It can be written as a sum of positive squares in 4 ways, for example, as 26885505024 + 75594203136 = 163968^2 + 274944^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102479708167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21378724 + ... + 21383516.

It is an arithmetic number, because the mean of its divisors is an integer number (1021052487).

Almost surely, 2^102479708160 is an apocalyptic number.

102479708160 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 102479708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183789447660).

102479708160 is an abundant number, since it is smaller than the sum of its proper divisors (265099187160).

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

102479708160 is an equidigital number, since it uses as much as digits as its factorization.

102479708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 1024 and 79708160, that added together give a square (79709184 = 8928²).

The spelling of 102479708160 in words is "one hundred two billion, four hundred seventy-nine million, seven hundred eight thousand, one hundred sixty".