105741263587015 has 16 divisors (see below), whose sum is σ = 145434505324032. Its totient is φ = 72299337400224.

The previous prime is 105741263587009. The next prime is 105741263587021. The reversal of 105741263587015 is 510785362147501.

It is an interprime number because it is at equal distance from previous prime (105741263587009) and next prime (105741263587021).

It is a cyclic number.

It is not a de Polignac number, because 105741263587015 - 2³ = 105741263587007 is a prime.

It is a super-2 number, since 2×105741263587015² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4353271659 + ... + 4353295948.

It is an arithmetic number, because the mean of its divisors is an integer number (9089656582752).

Almost surely, 2^{105741263587015} is an apocalyptic number.

105741263587015 is a deficient number, since it is larger than the sum of its proper divisors (39693241737017).

105741263587015 is an equidigital number, since it uses as much as digits as its factorization.

105741263587015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706567966.

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 105741263587015 in words is "one hundred five trillion, seven hundred forty-one billion, two hundred sixty-three million, five hundred eighty-seven thousand, fifteen".