102631681152 has 1920 divisors, whose sum is σ = 441231436800. Its totient is φ = 22992076800.

The previous prime is 102631681093. The next prime is 102631681211. The reversal of 102631681152 is 251186136201.

102631681152 is a `hidden beast` number, since 1 + 0 + 2 + 631 + 6 + 8 + 1 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102631681093) and next prime (102631681211).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3310699377 + ... + 3310699407.

It is an arithmetic number, because the mean of its divisors is an integer number (229808040).

Almost surely, 2^102631681152 is an apocalyptic number.

102631681152 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 102631681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220615718400).

102631681152 is an abundant number, since it is smaller than the sum of its proper divisors (338599755648).

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

102631681152 is a wasteful number, since it uses less digits than its factorization.

102631681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 102631681152 in words is "one hundred two billion, six hundred thirty-one million, six hundred eighty-one thousand, one hundred fifty-two".