102342642637104 has 240 divisors, whose sum is σ = 299044247943168. Its totient is φ = 32649952693248.

The previous prime is 102342642637091. The next prime is 102342642637121. The reversal of 102342642637104 is 401736246243201.

102342642637104 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 2 + 6 + 4 + 2 + 637 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102342642637104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61299769 + ... + 62947175.

Almost surely, 2^{102342642637104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342642637104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149522123971584).

102342642637104 is an abundant number, since it is smaller than the sum of its proper divisors (196701605306064).

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

102342642637104 is a wasteful number, since it uses less digits than its factorization.

102342642637104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647672 (or 1647663 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 102342642637104 in words is "one hundred two trillion, three hundred forty-two billion, six hundred forty-two million, six hundred thirty-seven thousand, one hundred four".