102759982416 has 960 divisors, whose sum is σ = 389585064960. Its totient is φ = 24524881920.

The previous prime is 102759982373. The next prime is 102759982421. The reversal of 102759982416 is 614289957201.

It is a happy number.

102759982416 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 599 + 8 + 2 + 41 + 6 = 666.

It is a super-2 number, since 2×102759982416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1154606500 + ... + 1154606588.

It is an arithmetic number, because the mean of its divisors is an integer number (405817776).

Almost surely, 2^102759982416 is an apocalyptic number.

102759982416 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 102759982416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194792532480).

102759982416 is an abundant number, since it is smaller than the sum of its proper divisors (286825082544).

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

102759982416 is a wasteful number, since it uses less digits than its factorization.

102759982416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

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

The spelling of 102759982416 in words is "one hundred two billion, seven hundred fifty-nine million, nine hundred eighty-two thousand, four hundred sixteen".