105988295013 has 16 divisors (see below), whose sum is σ = 152083498176. Its totient is φ = 65412253440.

The previous prime is 105988294987. The next prime is 105988295027. The reversal of 105988295013 is 310592889501.

It is not a de Polignac number, because 105988295013 - 2¹⁴ = 105988278629 is a prime.

It is a super-2 number, since 2×105988295013² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105988295093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17031331 + ... + 17037552.

It is an arithmetic number, because the mean of its divisors is an integer number (9505218636).

Almost surely, 2^105988295013 is an apocalyptic number.

It is an amenable number.

105988295013 is a deficient number, since it is larger than the sum of its proper divisors (46095203163).

105988295013 is a wasteful number, since it uses less digits than its factorization.

105988295013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34068964.

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 105988295013 in words is "one hundred five billion, nine hundred eighty-eight million, two hundred ninety-five thousand, thirteen".