102840317435520 has 3072 divisors, whose sum is σ = 459209627136000. Its totient is φ = 21618404720640.

The previous prime is 102840317435519. The next prime is 102840317435567. The reversal of 102840317435520 is 25534713048201.

102840317435520 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 40 + 3 + 17 + 43 + 552 + 0 = 666.

It is a super-2 number, since 2×102840317435520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 87822644535 + ... + 87822645705.

It is an arithmetic number, because the mean of its divisors is an integer number (149482300500).

Almost surely, 2^{102840317435520} is an apocalyptic number.

102840317435520 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 102840317435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229604813568000).

102840317435520 is an abundant number, since it is smaller than the sum of its proper divisors (356369309700480).

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

102840317435520 is a wasteful number, since it uses less digits than its factorization.

102840317435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 102840317435520 in words is "one hundred two trillion, eight hundred forty billion, three hundred seventeen million, four hundred thirty-five thousand, five hundred twenty".