105407199 has 24 divisors (see below), whose sum is σ = 158230800. Its totient is φ = 67536000.

The previous prime is 105407177. The next prime is 105407243. The reversal of 105407199 is 991704501.

It is a de Polignac number, because none of the positive numbers 2^k-105407199 is a prime.

It is a super-2 number, since 2×105407199² = 22221355202051202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105407999) 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, 64707 + ... + 66315.

It is an arithmetic number, because the mean of its divisors is an integer number (6592950).

Almost surely, 2^105407199 is an apocalyptic number.

105407199 is a deficient number, since it is larger than the sum of its proper divisors (52823601).

105407199 is a wasteful number, since it uses less digits than its factorization.

105407199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105407199 is about 10266.8008162231. The cubic root of 105407199 is about 472.3784654247.

The spelling of 105407199 in words is "one hundred five million, four hundred seven thousand, one hundred ninety-nine".