105720951 has 32 divisors (see below), whose sum is σ = 167185408. Its totient is φ = 58164480.

The previous prime is 105720931. The next prime is 105720973. The reversal of 105720951 is 159027501.

It is not a de Polignac number, because 105720951 - 2¹⁵ = 105688183 is a prime.

It is a super-2 number, since 2×105720951² = 22353838960688802, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105720931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79371 + ... + 80691.

It is an arithmetic number, because the mean of its divisors is an integer number (5224544).

Almost surely, 2^105720951 is an apocalyptic number.

105720951 is a deficient number, since it is larger than the sum of its proper divisors (61464457).

105720951 is a wasteful number, since it uses less digits than its factorization.

105720951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 105720951 is about 10282.0693928800. The cubic root of 105720951 is about 472.8466904927.

The spelling of 105720951 in words is "one hundred five million, seven hundred twenty thousand, nine hundred fifty-one".