103279955688 has 256 divisors, whose sum is σ = 368447385600. Its totient is φ = 26054265600.

The previous prime is 103279955629. The next prime is 103279955729. The reversal of 103279955688 is 886559972301.

103279955688 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 79 + 9 + 556 + 8 + 8 = 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 63 ways as a sum of consecutive naturals, for example, 337863 + ... + 566313.

It is an arithmetic number, because the mean of its divisors is an integer number (1439247600).

Almost surely, 2^103279955688 is an apocalyptic number.

103279955688 is a gapful number since it is divisible by the number (18) 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 103279955688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184223692800).

103279955688 is an abundant number, since it is smaller than the sum of its proper divisors (265167429912).

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

103279955688 is a wasteful number, since it uses less digits than its factorization.

103279955688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228509 (or 228499 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 103279955688 in words is "one hundred three billion, two hundred seventy-nine million, nine hundred fifty-five thousand, six hundred eighty-eight".