105201272872 has 8 divisors (see below), whose sum is σ = 197252386650. Its totient is φ = 52600636432.

The previous prime is 105201272831. The next prime is 105201272893. The reversal of 105201272872 is 278272102501.

It can be written as a sum of positive squares in only one way, i.e., 54758808036 + 50442464836 = 234006^2 + 224594^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105201272872² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6575079547 + ... + 6575079562.

Almost surely, 2^105201272872 is an apocalyptic number.

It is an amenable number.

105201272872 is a deficient number, since it is larger than the sum of its proper divisors (92051113778).

105201272872 is a wasteful number, since it uses less digits than its factorization.

105201272872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13150159115 (or 13150159111 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The spelling of 105201272872 in words is "one hundred five billion, two hundred one million, two hundred seventy-two thousand, eight hundred seventy-two".