105970437 has 40 divisors (see below), whose sum is σ = 165310200. Its totient is φ = 67568256.

The previous prime is 105970433. The next prime is 105970457. The reversal of 105970437 is 734079501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73719396 + 32251041 = 8586^2 + 5679^2 .

It is not a de Polignac number, because 105970437 - 2² = 105970433 is a prime.

It is a super-2 number, since 2×105970437² = 22459467035941938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105970433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 462639 + ... + 462867.

It is an arithmetic number, because the mean of its divisors is an integer number (4132755).

Almost surely, 2^105970437 is an apocalyptic number.

It is an amenable number.

105970437 is a deficient number, since it is larger than the sum of its proper divisors (59339763).

105970437 is a wasteful number, since it uses less digits than its factorization.

105970437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 105970437 is about 10294.1943346723. The cubic root of 105970437 is about 473.2183479977.

The spelling of 105970437 in words is "one hundred five million, nine hundred seventy thousand, four hundred thirty-seven".