103696879104 has 1120 divisors, whose sum is σ = 396733607424. Its totient is φ = 26336378880.

The previous prime is 103696879067. The next prime is 103696879171. The reversal of 103696879104 is 401978696301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1460519389 + ... + 1460519459.

Almost surely, 2^103696879104 is an apocalyptic number.

103696879104 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 103696879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198366803712).

103696879104 is an abundant number, since it is smaller than the sum of its proper divisors (293036728320).

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

103696879104 is an frugal number, since it uses more digits than its factorization.

103696879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 103696879104 in words is "one hundred three billion, six hundred ninety-six million, eight hundred seventy-nine thousand, one hundred four".