102156193147680 has 1728 divisors, whose sum is σ = 433736906803200. Its totient is φ = 21782461317120.

The previous prime is 102156193147669. The next prime is 102156193147751. The reversal of 102156193147680 is 86741391651201.

102156193147680 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 6 + 1 + 93 + 1 + 476 + 80 = 666.

It is a super-2 number, since 2×102156193147680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65526742741 + ... + 65526744299.

It is an arithmetic number, because the mean of its divisors is an integer number (251005154400).

It is a 1-persistent number, because it is pandigital, but 2⋅102156193147680 = 204312386295360 is not.

Almost surely, 2^{102156193147680} is an apocalyptic number.

102156193147680 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 102156193147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216868453401600).

102156193147680 is an abundant number, since it is smaller than the sum of its proper divisors (331580713655520).

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

102156193147680 is a wasteful number, since it uses less digits than its factorization.

102156193147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 102156193147680 in words is "one hundred two trillion, one hundred fifty-six billion, one hundred ninety-three million, one hundred forty-seven thousand, six hundred eighty".