105988290083 has 32 divisors (see below), whose sum is σ = 127327233600. Its totient is φ = 87157886976.

The previous prime is 105988290071. The next prime is 105988290101. The reversal of 105988290083 is 380092889501.

It is not a de Polignac number, because 105988290083 - 2¹² = 105988285987 is a prime.

It is a super-2 number, since 2×105988290083² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105988290043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082983 + ... + 5103791.

It is an arithmetic number, because the mean of its divisors is an integer number (3978976050).

Almost surely, 2^105988290083 is an apocalyptic number.

105988290083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105988290083 is a deficient number, since it is larger than the sum of its proper divisors (21338943517).

105988290083 is a wasteful number, since it uses less digits than its factorization.

105988290083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22071.

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 105988290083 in words is "one hundred five billion, nine hundred eighty-eight million, two hundred ninety thousand, eighty-three".