105015000501 has 24 divisors (see below), whose sum is σ = 162636149760. Its totient is φ = 66966078168.

The previous prime is 105015000451. The next prime is 105015000527. The reversal of 105015000501 is 105000510501.

105015000501 is a `hidden beast` number, since 10 + 5 + 0 + 150 + 0 + 0 + 501 = 666.

It is not a de Polignac number, because 105015000501 - 2³¹ = 102867516853 is a prime.

It is a super-2 number, since 2×105015000501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105015000551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3661941 + ... + 3690506.

It is an arithmetic number, because the mean of its divisors is an integer number (6776506240).

Almost surely, 2^105015000501 is an apocalyptic number.

It is an amenable number.

105015000501 is a deficient number, since it is larger than the sum of its proper divisors (57621149259).

105015000501 is an equidigital number, since it uses as much as digits as its factorization.

105015000501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352502 (or 7352473 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 105015000501 in words is "one hundred five billion, fifteen million, five hundred one", and thus it is an aban number.