102239213938176 has 640 divisors, whose sum is σ = 358131546685440. Its totient is φ = 25205686272000.

The previous prime is 102239213938163. The next prime is 102239213938177. The reversal of 102239213938176 is 671839312932201.

It is a super-2 number, since 2×102239213938176² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102239213938177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107184951 + ... + 108134601.

It is an arithmetic number, because the mean of its divisors is an integer number (559580541696).

Almost surely, 2^{102239213938176} is an apocalyptic number.

102239213938176 is a gapful number since it is divisible by the number (16) 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 102239213938176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179065773342720).

102239213938176 is an abundant number, since it is smaller than the sum of its proper divisors (255892332747264).

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

102239213938176 is a wasteful number, since it uses less digits than its factorization.

102239213938176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949746 (or 949730 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 102239213938176 in words is "one hundred two trillion, two hundred thirty-nine billion, two hundred thirteen million, nine hundred thirty-eight thousand, one hundred seventy-six".