102158724096 has 1056 divisors, whose sum is σ = 375052977600. Its totient is φ = 27590492160.

The previous prime is 102158724079. The next prime is 102158724133. The reversal of 102158724096 is 690427851201.

102158724096 is a `hidden beast` number, since 1 + 0 + 21 + 587 + 2 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3522714610 + ... + 3522714638.

Almost surely, 2^102158724096 is an apocalyptic number.

102158724096 is a gapful number since it is divisible by the number (16) 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 102158724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187526488800).

102158724096 is an abundant number, since it is smaller than the sum of its proper divisors (272894253504).

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

102158724096 is an equidigital number, since it uses as much as digits as its factorization.

102158724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 102158724096 in words is "one hundred two billion, one hundred fifty-eight million, seven hundred twenty-four thousand, ninety-six".