102729452962752 has 2688 divisors, whose sum is σ = 401497502515200. Its totient is φ = 25274861568000.

The previous prime is 102729452962739. The next prime is 102729452962781. The reversal of 102729452962752 is 257269254927201.

It is a happy number.

102729452962752 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 29 + 452 + 96 + 2 + 75 + 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 102729452962752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 516228406749 + ... + 516228406947.

It is an arithmetic number, because the mean of its divisors is an integer number (149366630400).

Almost surely, 2^{102729452962752} is an apocalyptic number.

102729452962752 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 102729452962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200748751257600).

102729452962752 is an abundant number, since it is smaller than the sum of its proper divisors (298768049552448).

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

102729452962752 is a wasteful number, since it uses less digits than its factorization.

102729452962752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 102729452962752 in words is "one hundred two trillion, seven hundred twenty-nine billion, four hundred fifty-two million, nine hundred sixty-two thousand, seven hundred fifty-two".