103179871872 has 1024 divisors, whose sum is σ = 397069516800. Its totient is φ = 25604812800.

The previous prime is 103179871841. The next prime is 103179871877. The reversal of 103179871872 is 278178971301.

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

It is not an unprimeable number, because it can be changed into a prime (103179871877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 812439873 + ... + 812439999.

It is an arithmetic number, because the mean of its divisors is an integer number (387763200).

Almost surely, 2^103179871872 is an apocalyptic number.

103179871872 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 103179871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198534758400).

103179871872 is an abundant number, since it is smaller than the sum of its proper divisors (293889644928).

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

103179871872 is a wasteful number, since it uses less digits than its factorization.

103179871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 103179871872 in words is "one hundred three billion, one hundred seventy-nine million, eight hundred seventy-one thousand, eight hundred seventy-two".