105113121531 has 8 divisors (see below), whose sum is σ = 152891813184. Its totient is φ = 63704922120.

The previous prime is 105113121527. The next prime is 105113121539. The reversal of 105113121531 is 135121311501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105113121531 - 2² = 105113121527 is a prime.

It is a super-2 number, since 2×105113121531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105113121539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1592623021 + ... + 1592623086.

It is an arithmetic number, because the mean of its divisors is an integer number (19111476648).

Almost surely, 2^105113121531 is an apocalyptic number.

105113121531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105113121531 is a deficient number, since it is larger than the sum of its proper divisors (47778691653).

105113121531 is a wasteful number, since it uses less digits than its factorization.

105113121531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185246121.

The product of its (nonzero) digits is 450, while the sum is 24.

The spelling of 105113121531 in words is "one hundred five billion, one hundred thirteen million, one hundred twenty-one thousand, five hundred thirty-one".