103120399872 has 480 divisors, whose sum is σ = 353309958144. Its totient is φ = 28333670400.

The previous prime is 103120399861. The next prime is 103120399891. The reversal of 103120399872 is 278993021301.

It is a super-2 number, since 2×103120399872² (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 47 ways as a sum of consecutive naturals, for example, 280981833 + ... + 280982199.

Almost surely, 2^103120399872 is an apocalyptic number.

103120399872 is a gapful number since it is divisible by the number (12) 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 103120399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176654979072).

103120399872 is an abundant number, since it is smaller than the sum of its proper divisors (250189558272).

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

103120399872 is a wasteful number, since it uses less digits than its factorization.

103120399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 103120399872 in words is "one hundred three billion, one hundred twenty million, three hundred ninety-nine thousand, eight hundred seventy-two".