105151476872 has 36 divisors (see below), whose sum is σ = 213515929845. Its totient is φ = 48525947808.

The previous prime is 105151476853. The next prime is 105151476901. The reversal of 105151476872 is 278674151501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 89907623716 + 15243853156 = 299846^2 + 123466^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229294.

It is a super-2 number, since 2×105151476872² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11918879 + ... + 11927697.

Almost surely, 2^105151476872 is an apocalyptic number.

It is an amenable number.

105151476872 is an abundant number, since it is smaller than the sum of its proper divisors (108364452973).

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

105151476872 is an frugal number, since it uses more digits than its factorization.

105151476872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17670 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 47.

The spelling of 105151476872 in words is "one hundred five billion, one hundred fifty-one million, four hundred seventy-six thousand, eight hundred seventy-two".