105118507 has 18 divisors (see below), whose sum is σ = 120202452. Its totient is φ = 91872144.

The previous prime is 105118493. The next prime is 105118513. The reversal of 105118507 is 705811501.

It is not a de Polignac number, because 105118507 - 2¹⁹ = 104594219 is a prime.

It is a super-2 number, since 2×105118507² = 22099801027818098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105118567) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60148 + ... + 61870.

It is an arithmetic number, because the mean of its divisors is an integer number (6677914).

Almost surely, 2^105118507 is an apocalyptic number.

105118507 is a deficient number, since it is larger than the sum of its proper divisors (15083945).

105118507 is a wasteful number, since it uses less digits than its factorization.

105118507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 28.

The square root of 105118507 is about 10252.7316847755. The cubic root of 105118507 is about 471.9468169394.

It can be divided in two parts, 105118 and 507, that added together give a square (105625 = 325²).

The spelling of 105118507 in words is "one hundred five million, one hundred eighteen thousand, five hundred seven".