105005256134144 has 40 divisors (see below), whose sum is σ = 209812334619888. Its totient is φ = 52500898693120.

The previous prime is 105005256134087. The next prime is 105005256134153. The reversal of 105005256134144 is 441431652500501.

It is a super-2 number, since 2×105005256134144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12252029 + ... + 18976899.

Almost surely, 2^{105005256134144} is an apocalyptic number.

It is an amenable number.

105005256134144 is a deficient number, since it is larger than the sum of its proper divisors (104807078485744).

105005256134144 is an frugal number, since it uses more digits than its factorization.

105005256134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755386 (or 6755370 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 105005256134144 in words is "one hundred five trillion, five billion, two hundred fifty-six million, one hundred thirty-four thousand, one hundred forty-four".