102393626936832 has 1200 divisors, whose sum is σ = 406502559983520. Its totient is φ = 25031145553920.

The previous prime is 102393626936773. The next prime is 102393626936857. The reversal of 102393626936832 is 238639626393201.

It is a happy number.

102393626936832 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 3 + 6 + 269 + 368 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 102393626936832.

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 119 ways as a sum of consecutive naturals, for example, 597069594 + ... + 597241062.

Almost surely, 2^{102393626936832} is an apocalyptic number.

102393626936832 is a gapful number since it is divisible by the number (12) 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 102393626936832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203251279991760).

102393626936832 is an abundant number, since it is smaller than the sum of its proper divisors (304108933046688).

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

102393626936832 is a wasteful number, since it uses less digits than its factorization.

102393626936832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171545 (or 171509 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 102393626936832 in words is "one hundred two trillion, three hundred ninety-three billion, six hundred twenty-six million, nine hundred thirty-six thousand, eight hundred thirty-two".