102739853497600 has 432 divisors, whose sum is σ = 292337164224000. Its totient is φ = 35354697523200.

The previous prime is 102739853497591. The next prime is 102739853497613. The reversal of 102739853497600 is 6794358937201.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229212611 + ... + 1229296189.

It is a 1-persistent number, because it is pandigital, but 2⋅102739853497600 = 205479706995200 is not.

Almost surely, 2^{102739853497600} is an apocalyptic number.

102739853497600 is a gapful number since it is divisible by the number (10) 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 102739853497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146168582112000).

102739853497600 is an abundant number, since it is smaller than the sum of its proper divisors (189597310726400).

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

102739853497600 is a wasteful number, since it uses less digits than its factorization.

102739853497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84554 (or 84535 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 102739853497600 in words is "one hundred two trillion, seven hundred thirty-nine billion, eight hundred fifty-three million, four hundred ninety-seven thousand, six hundred".