102227092596000 has 864 divisors, whose sum is σ = 386065615899600. Its totient is φ = 25612738560000.

The previous prime is 102227092595951. The next prime is 102227092596157. The reversal of 102227092596000 is 695290722201.

102227092596000 is a `hidden beast` number, since 10 + 2 + 2 + 2 + 7 + 0 + 9 + 25 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 9479329637904 + 92747762958096 = 3078852^2 + 9630564^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6252795826 + ... + 6252812174.

Almost surely, 2^{102227092596000} is an apocalyptic number.

102227092596000 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 102227092596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193032807949800).

102227092596000 is an abundant number, since it is smaller than the sum of its proper divisors (283838523303600).

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

102227092596000 is a wasteful number, since it uses less digits than its factorization.

102227092596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17015 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 102227092596000 in words is "one hundred two trillion, two hundred twenty-seven billion, ninety-two million, five hundred ninety-six thousand".