105537981 has 12 divisors (see below), whose sum is σ = 145406976. Its totient is φ = 68087160.

The previous prime is 105537979. The next prime is 105538003. The reversal of 105537981 is 189735501.

It is not a de Polignac number, because 105537981 - 2¹ = 105537979 is a prime.

It is a super-2 number, since 2×105537981² = 22276530867112722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105537911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15421 + ... + 21186.

It is an arithmetic number, because the mean of its divisors is an integer number (12117248).

Almost surely, 2^105537981 is an apocalyptic number.

It is an amenable number.

105537981 is a deficient number, since it is larger than the sum of its proper divisors (39868995).

105537981 is an equidigital number, since it uses as much as digits as its factorization.

105537981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36672 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The square root of 105537981 is about 10273.1680118647. The cubic root of 105537981 is about 472.5737495812.

The spelling of 105537981 in words is "one hundred five million, five hundred thirty-seven thousand, nine hundred eighty-one".