105011507 has 2 divisors, whose sum is σ = 105011508. Its totient is φ = 105011506.

The previous prime is 105011483. The next prime is 105011509. The reversal of 105011507 is 705110501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105011507 - 2¹⁰ = 105010483 is a prime.

It is a super-2 number, since 2×105011507² = 22054833204822098, which contains 22 as substring.

Together with 105011509, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105011509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505753 + 52505754.

It is an arithmetic number, because the mean of its divisors is an integer number (52505754).

Almost surely, 2^105011507 is an apocalyptic number.

105011507 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011507 is an equidigital number, since it uses as much as digits as its factorization.

105011507 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 175, while the sum is 20.

The square root of 105011507 is about 10247.5122346841. The cubic root of 105011507 is about 471.7866312131.

The spelling of 105011507 in words is "one hundred five million, eleven thousand, five hundred seven".