102107770163424 has 240 divisors, whose sum is σ = 317117624503680. Its totient is φ = 32140873923840.

The previous prime is 102107770163411. The next prime is 102107770163429. The reversal of 102107770163424 is 424361077701201.

102107770163424 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 7 + 7 + 7 + 0 + 1 + 634 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102107770163424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102107770163429) 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, 11982787 + ... + 18649469.

It is an arithmetic number, because the mean of its divisors is an integer number (1321323435432).

Almost surely, 2^{102107770163424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102107770163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558812251840).

102107770163424 is an abundant number, since it is smaller than the sum of its proper divisors (215009854340256).

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

102107770163424 is a wasteful number, since it uses less digits than its factorization.

102107770163424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667035 (or 6667018 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 102107770163424 in words is "one hundred two trillion, one hundred seven billion, seven hundred seventy million, one hundred sixty-three thousand, four hundred twenty-four".