105354132015 has 16 divisors (see below), whose sum is σ = 183890848896. Its totient is φ = 51080791200.

The previous prime is 105354132007. The next prime is 105354132029. The reversal of 105354132015 is 510231453501.

It is not a de Polignac number, because 105354132015 - 2³ = 105354132007 is a prime.

It is a super-2 number, since 2×105354132015² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 319254781 + ... + 319255110.

It is an arithmetic number, because the mean of its divisors is an integer number (11493178056).

Almost surely, 2^105354132015 is an apocalyptic number.

105354132015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105354132015 is a deficient number, since it is larger than the sum of its proper divisors (78536716881).

105354132015 is a wasteful number, since it uses less digits than its factorization.

105354132015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638509910.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 105354132015 its reverse (510231453501), we get a palindrome (615585585516).

The spelling of 105354132015 in words is "one hundred five billion, three hundred fifty-four million, one hundred thirty-two thousand, fifteen".