103104871296 has 256 divisors, whose sum is σ = 318318336000. Its totient is φ = 28962035712.

The previous prime is 103104871279. The next prime is 103104871351. The reversal of 103104871296 is 692178401301.

It is a happy number.

It is a super-2 number, since 2×103104871296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39977335 + ... + 39979913.

It is an arithmetic number, because the mean of its divisors is an integer number (1243431000).

Almost surely, 2^103104871296 is an apocalyptic number.

103104871296 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 103104871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159159168000).

103104871296 is an abundant number, since it is smaller than the sum of its proper divisors (215213464704).

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

103104871296 is a wasteful number, since it uses less digits than its factorization.

103104871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 103104871296 in words is "one hundred three billion, one hundred four million, eight hundred seventy-one thousand, two hundred ninety-six".