102070064088 has 192 divisors, whose sum is σ = 293468797440. Its totient is φ = 33226723584.

The previous prime is 102070064087. The next prime is 102070064099. The reversal of 102070064088 is 880460070201.

102070064088 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 7 + 0 + 0 + 640 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102070064081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14613445 + ... + 14620427.

It is an arithmetic number, because the mean of its divisors is an integer number (1528483320).

Almost surely, 2^102070064088 is an apocalyptic number.

102070064088 is a gapful number since it is divisible by the number (18) 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 102070064088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146734398720).

102070064088 is an abundant number, since it is smaller than the sum of its proper divisors (191398733352).

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

102070064088 is a wasteful number, since it uses less digits than its factorization.

102070064088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 102070064088 in words is "one hundred two billion, seventy million, sixty-four thousand, eighty-eight".