102226588079616 has 5760 divisors, whose sum is σ = 443646836785152. Its totient is φ = 22221029376000.

The previous prime is 102226588079599. The next prime is 102226588079641. The reversal of 102226588079616 is 616970885622201.

102226588079616 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 6 + 5 + 8 + 8 + 0 + 7 + 9 + 616 = 666.

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

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 1928803548646 + ... + 1928803548698.

Almost surely, 2^{102226588079616} is an apocalyptic number.

102226588079616 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 102226588079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221823418392576).

102226588079616 is an abundant number, since it is smaller than the sum of its proper divisors (341420248705536).

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

102226588079616 is a wasteful number, since it uses less digits than its factorization.

102226588079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 102226588079616 in words is "one hundred two trillion, two hundred twenty-six billion, five hundred eighty-eight million, seventy-nine thousand, six hundred sixteen".