102996575922240 has 3584 divisors, whose sum is σ = 530121424896000. Its totient is φ = 18111187353600.

The previous prime is 102996575922193. The next prime is 102996575922263. The reversal of 102996575922240 is 42229575699201.

102996575922240 is a `hidden beast` number, since 1 + 0 + 299 + 6 + 57 + 59 + 2 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5094038851 + ... + 5094059069.

It is an arithmetic number, because the mean of its divisors is an integer number (147913344000).

Almost surely, 2^{102996575922240} is an apocalyptic number.

102996575922240 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 102996575922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265060712448000).

102996575922240 is an abundant number, since it is smaller than the sum of its proper divisors (427124848973760).

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

102996575922240 is a wasteful number, since it uses less digits than its factorization.

102996575922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20326 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 102996575922240 in words is "one hundred two trillion, nine hundred ninety-six billion, five hundred seventy-five million, nine hundred twenty-two thousand, two hundred forty".