10103095872 has 224 divisors, whose sum is σ = 31523635200. Its totient is φ = 3164023296.

The previous prime is 10103095861. The next prime is 10103095879. The reversal of 10103095872 is 27859030101.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10103095879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4168453 + ... + 4170875.

Almost surely, 2^10103095872 is an apocalyptic number.

10103095872 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 10103095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761817600).

10103095872 is an abundant number, since it is smaller than the sum of its proper divisors (21420539328).

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

10103095872 is a wasteful number, since it uses less digits than its factorization.

10103095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10103095872 in words is "ten billion, one hundred three million, ninety-five thousand, eight hundred seventy-two".