102731129957820 has 192 divisors, whose sum is σ = 354061834076160. Its totient is φ = 21673023869952.

The previous prime is 102731129957801. The next prime is 102731129957837. The reversal of 102731129957820 is 28759921137201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55341286 + ... + 57167474.

It is an arithmetic number, because the mean of its divisors is an integer number (1844072052480).

Almost surely, 2^{102731129957820} is an apocalyptic number.

102731129957820 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 102731129957820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177030917038080).

102731129957820 is an abundant number, since it is smaller than the sum of its proper divisors (251330704118340).

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

102731129957820 is a wasteful number, since it uses less digits than its factorization.

102731129957820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836524 (or 1836522 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 102731129957820 in words is "one hundred two trillion, seven hundred thirty-one billion, one hundred twenty-nine million, nine hundred fifty-seven thousand, eight hundred twenty".