105164185450587 has 16 divisors (see below), whose sum is σ = 144872826878208. Its totient is φ = 67814159767200.

The previous prime is 105164185450573. The next prime is 105164185450591. The reversal of 105164185450587 is 785054581461501.

It is not a de Polignac number, because 105164185450587 - 2⁷ = 105164185450459 is a prime.

It is a super-2 number, since 2×105164185450587² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105164185450587.

It is not an unprimeable number, because it can be changed into a prime (105164185450537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3957395664 + ... + 3957422237.

It is an arithmetic number, because the mean of its divisors is an integer number (9054551679888).

Almost surely, 2^{105164185450587} is an apocalyptic number.

105164185450587 is a deficient number, since it is larger than the sum of its proper divisors (39708641427621).

105164185450587 is a wasteful number, since it uses less digits than its factorization.

105164185450587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914818050.

The product of its (nonzero) digits is 26880000, while the sum is 60.

The spelling of 105164185450587 in words is "one hundred five trillion, one hundred sixty-four billion, one hundred eighty-five million, four hundred fifty thousand, five hundred eighty-seven".