102958159048900 has 81 divisors (see below), whose sum is σ = 228284519785959. Its totient is φ = 40305156951360.

The previous prime is 102958159048897. The next prime is 102958159048933. The reversal of 102958159048900 is 9840951859201.

The square root of 102958159048900 is 10146830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2881024180164 + 100077134868736 = 1697358^2 + 10003856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4768999306 + ... + 4769020894.

Almost surely, 2^{102958159048900} is an apocalyptic number.

102958159048900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102958159048900 is the 10146830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102958159048900

102958159048900 is an abundant number, since it is smaller than the sum of its proper divisors (125326360737059).

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

102958159048900 is an frugal number, since it uses more digits than its factorization.

102958159048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43286 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 61.

The spelling of 102958159048900 in words is "one hundred two trillion, nine hundred fifty-eight billion, one hundred fifty-nine million, forty-eight thousand, nine hundred".