102672399223296 has 1920 divisors, whose sum is σ = 379434794618880. Its totient is φ = 26054144557056.

The previous prime is 102672399223271. The next prime is 102672399223309. The reversal of 102672399223296 is 692322993276201.

102672399223296 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 2 + 399 + 2 + 232 + 9 + 6 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141227508885 + ... + 141227509611.

It is an arithmetic number, because the mean of its divisors is an integer number (197622288864).

Almost surely, 2^{102672399223296} is an apocalyptic number.

102672399223296 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 102672399223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189717397309440).

102672399223296 is an abundant number, since it is smaller than the sum of its proper divisors (276762395395584).

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

102672399223296 is a wasteful number, since it uses less digits than its factorization.

102672399223296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 102672399223296 in words is "one hundred two trillion, six hundred seventy-two billion, three hundred ninety-nine million, two hundred twenty-three thousand, two hundred ninety-six".