105351113 has 16 divisors (see below), whose sum is σ = 128578560. Its totient is φ = 84369600.

The previous prime is 105351107. The next prime is 105351131. The reversal of 105351113 is 311153501.

It is not a de Polignac number, because 105351113 - 2⁴ = 105351097 is a prime.

It is a super-2 number, since 2×105351113² = 22197714020677538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105351163) 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, 2078 + ... + 14663.

It is an arithmetic number, because the mean of its divisors is an integer number (8036160).

Almost surely, 2^105351113 is an apocalyptic number.

It is an amenable number.

105351113 is a deficient number, since it is larger than the sum of its proper divisors (23227447).

105351113 is a wasteful number, since it uses less digits than its factorization.

105351113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16808.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105351113 is about 10264.0690274374. The cubic root of 105351113 is about 472.2946681152.

The spelling of 105351113 in words is "one hundred five million, three hundred fifty-one thousand, one hundred thirteen".