102270596972544 has 4032 divisors, whose sum is σ = 430369905257280. Its totient is φ = 23998711726080.

The previous prime is 102270596972519. The next prime is 102270596972563. The reversal of 102270596972544 is 445279695072201.

It is a happy number.

102270596972544 is a `hidden beast` number, since 1 + 0 + 2 + 27 + 0 + 5 + 9 + 69 + 7 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2175970148329 + ... + 2175970148375.

Almost surely, 2^{102270596972544} is an apocalyptic number.

102270596972544 is a gapful number since it is divisible by the number (14) 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 102270596972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215184952628640).

102270596972544 is an abundant number, since it is smaller than the sum of its proper divisors (328099308284736).

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

102270596972544 is an frugal number, since it uses more digits than its factorization.

102270596972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 102270596972544 in words is "one hundred two trillion, two hundred seventy billion, five hundred ninety-six million, nine hundred seventy-two thousand, five hundred forty-four".