102709676160 has 2048 divisors, whose sum is σ = 482549760000. Its totient is φ = 20483850240.

The previous prime is 102709676059. The next prime is 102709676239. The reversal of 102709676160 is 61676907201.

It is a happy number.

102709676160 is a `hidden beast` number, since 1 + 0 + 27 + 0 + 9 + 6 + 7 + 616 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2388597099 + ... + 2388597141.

It is an arithmetic number, because the mean of its divisors is an integer number (235620000).

Almost surely, 2^102709676160 is an apocalyptic number.

102709676160 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 102709676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241274880000).

102709676160 is an abundant number, since it is smaller than the sum of its proper divisors (379840083840).

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

102709676160 is a wasteful number, since it uses less digits than its factorization.

102709676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 102709676160 in words is "one hundred two billion, seven hundred nine million, six hundred seventy-six thousand, one hundred sixty".