105999036576372 has 36 divisors (see below), whose sum is σ = 271715840244576. Its totient is φ = 34835364132240.

The previous prime is 105999036576353. The next prime is 105999036576397. The reversal of 105999036576372 is 273675630999501.

105999036576372 is a `hidden beast` number, since 1 + 0 + 5 + 99 + 90 + 36 + 57 + 6 + 372 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105999036576372² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105999036576372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20735333238 + ... + 20735338349.

It is an arithmetic number, because the mean of its divisors is an integer number (7547662229016).

Almost surely, 2^{105999036576372} is an apocalyptic number.

105999036576372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105999036576372 is an abundant number, since it is smaller than the sum of its proper divisors (165716803668204).

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

105999036576372 is a wasteful number, since it uses less digits than its factorization.

105999036576372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41470671668 (or 41470671663 counting only the distinct ones).

The product of its (nonzero) digits is 578680200, while the sum is 72.

The spelling of 105999036576372 in words is "one hundred five trillion, nine hundred ninety-nine billion, thirty-six million, five hundred seventy-six thousand, three hundred seventy-two".