105348607 has 16 divisors (see below), whose sum is σ = 129912832. Its totient is φ = 83190240.

The previous prime is 105348587. The next prime is 105348629. The reversal of 105348607 is 706843501.

It is not a de Polignac number, because 105348607 - 2²³ = 96959999 is a prime.

It is a super-2 number, since 2×105348607² = 22196657993680898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105348637) 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, 70882 + ... + 72352.

It is an arithmetic number, because the mean of its divisors is an integer number (8119552).

Almost surely, 2^105348607 is an apocalyptic number.

105348607 is a deficient number, since it is larger than the sum of its proper divisors (24564225).

105348607 is a wasteful number, since it uses less digits than its factorization.

105348607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 105348607 is about 10263.9469503695. The cubic root of 105348607 is about 472.2909232415.

The spelling of 105348607 in words is "one hundred five million, three hundred forty-eight thousand, six hundred seven".