103079877264 has 960 divisors, whose sum is σ = 397710100480. Its totient is φ = 24873246720.

The previous prime is 103079877191. The next prime is 103079877337. The reversal of 103079877264 is 462778970301.

103079877264 is a `hidden beast` number, since 1 + 0 + 307 + 9 + 8 + 77 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (103079877191) and next prime (103079877337).

It is a super-2 number, since 2×103079877264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103079877264.

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, 488530119 + ... + 488530329.

Almost surely, 2^103079877264 is an apocalyptic number.

103079877264 is a gapful number since it is divisible by the number (14) 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 103079877264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198855050240).

103079877264 is an abundant number, since it is smaller than the sum of its proper divisors (294630223216).

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

103079877264 is a wasteful number, since it uses less digits than its factorization.

103079877264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 103079877264 in words is "one hundred three billion, seventy-nine million, eight hundred seventy-seven thousand, two hundred sixty-four".