102140679744 has 336 divisors, whose sum is σ = 310273037568. Its totient is φ = 32085172224.

The previous prime is 102140679727. The next prime is 102140679749. The reversal of 102140679744 is 447976041201.

102140679744 is a `hidden beast` number, since 102 + 1 + 406 + 79 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102140679744.

It is not an unprimeable number, because it can be changed into a prime (102140679749) 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, 107177572 + ... + 107178524.

Almost surely, 2^102140679744 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 102140679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155136518784).

102140679744 is an abundant number, since it is smaller than the sum of its proper divisors (208132357824).

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

102140679744 is a wasteful number, since it uses less digits than its factorization.

102140679744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 102140679744 in words is "one hundred two billion, one hundred forty million, six hundred seventy-nine thousand, seven hundred forty-four".