102165893956 has 135 divisors (see below), whose sum is σ = 223811812539. Its totient is φ = 40688129664.

The previous prime is 102165893927. The next prime is 102165893971. The reversal of 102165893956 is 659398561201.

The square root of 102165893956 is 319634.

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

It can be written as a sum of positive squares in 2 ways, for example, as 31707500356 + 70458393600 = 178066^2 + 265440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102165893897 and 102165893906.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1293239125 + ... + 1293239203.

Almost surely, 2^102165893956 is an apocalyptic number.

102165893956 is the 319634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102165893956

102165893956 is an abundant number, since it is smaller than the sum of its proper divisors (121645918583).

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

102165893956 is an frugal number, since it uses more digits than its factorization.

102165893956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 102165893956 in words is "one hundred two billion, one hundred sixty-five million, eight hundred ninety-three thousand, nine hundred fifty-six".