102472694784 has 176 divisors, whose sum is σ = 304331584000. Its totient is φ = 34061119488.

The previous prime is 102472694749. The next prime is 102472694803. The reversal of 102472694784 is 487496274201.

102472694784 is a `hidden beast` number, since 1 + 0 + 2 + 472 + 6 + 94 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 102472694784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10141767 + ... + 10151865.

Almost surely, 2^102472694784 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 102472694784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152165792000).

102472694784 is an abundant number, since it is smaller than the sum of its proper divisors (201858889216).

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

102472694784 is a wasteful number, since it uses less digits than its factorization.

102472694784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 102472694784 in words is "one hundred two billion, four hundred seventy-two million, six hundred ninety-four thousand, seven hundred eighty-four".