105137872000826 has 16 divisors (see below), whose sum is σ = 180242739735360. Its totient is φ = 45057491066880.

The previous prime is 105137872000807. The next prime is 105137872000859. The reversal of 105137872000826 is 628000278731501.

It is a super-2 number, since 2×105137872000826² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132668615 + ... + 133458746.

It is an arithmetic number, because the mean of its divisors is an integer number (11265171233460).

Almost surely, 2^{105137872000826} is an apocalyptic number.

105137872000826 is a deficient number, since it is larger than the sum of its proper divisors (75104867734534).

105137872000826 is a wasteful number, since it uses less digits than its factorization.

105137872000826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266155589.

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 105137872000826 in words is "one hundred five trillion, one hundred thirty-seven billion, eight hundred seventy-two million, eight hundred twenty-six", and thus it is an aban number.