105950847 has 16 divisors (see below), whose sum is σ = 146135808. Its totient is φ = 68233920.

The previous prime is 105950837. The next prime is 105950849. The reversal of 105950847 is 748059501.

It is not a de Polignac number, because 105950847 - 2¹⁵ = 105918079 is a prime.

It is a super-2 number, since 2×105950847² = 22451163960034818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105950849) 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, 8488 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (9133488).

Almost surely, 2^105950847 is an apocalyptic number.

105950847 is a deficient number, since it is larger than the sum of its proper divisors (40184961).

105950847 is a wasteful number, since it uses less digits than its factorization.

105950847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105950847 is about 10293.2427834964. The cubic root of 105950847 is about 473.1891860321.

The spelling of 105950847 in words is "one hundred five million, nine hundred fifty thousand, eight hundred forty-seven".