105121437601344 has 56 divisors (see below), whose sum is σ = 292772424908640. Its totient is φ = 33196243451904.

The previous prime is 105121437601267. The next prime is 105121437601351. The reversal of 105121437601344 is 443106734121501.

It is a super-2 number, since 2×105121437601344² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105121437601296 and 105121437601305.

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, 14408088129 + ... + 14408095424.

Almost surely, 2^{105121437601344} is an apocalyptic number.

It is an amenable number.

105121437601344 is an abundant number, since it is smaller than the sum of its proper divisors (187650987307296).

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

105121437601344 is a wasteful number, since it uses less digits than its factorization.

105121437601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28816183587 (or 28816183577 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 105121437601344 in words is "one hundred five trillion, one hundred twenty-one billion, four hundred thirty-seven million, six hundred one thousand, three hundred forty-four".