105855507 has 12 divisors (see below), whose sum is σ = 153072504. Its totient is φ = 70491840.

The previous prime is 105855487. The next prime is 105855509. The reversal of 105855507 is 705558501.

It is not a de Polignac number, because 105855507 - 2¹¹ = 105853459 is a prime.

It is a super-2 number, since 2×105855507² = 22410776724454098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105855509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2683 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (12756042).

Almost surely, 2^105855507 is an apocalyptic number.

105855507 is a deficient number, since it is larger than the sum of its proper divisors (47216997).

105855507 is a wasteful number, since it uses less digits than its factorization.

105855507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The square root of 105855507 is about 10288.6105475910. The cubic root of 105855507 is about 473.0472101474.

It can be divided in two parts, 1058 and 55507, that added together give a palindrome (56565).

The spelling of 105855507 in words is "one hundred five million, eight hundred fifty-five thousand, five hundred seven".