105242537 has 4 divisors (see below), whose sum is σ = 108871620. Its totient is φ = 101613456.

The previous prime is 105242497. The next prime is 105242569. The reversal of 105242537 is 735242501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 86415616 + 18826921 = 9296^2 + 4339^2 .

It is a cyclic number.

It is not a de Polignac number, because 105242537 - 2¹⁴ = 105226153 is a prime.

It is a super-2 number, since 2×105242537² = 22151983188392738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 3629053 = 105242537 / (1 + 0 + 5 + 2 + 4 + 2 + 5 + 3 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105242237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1814498 + ... + 1814555.

It is an arithmetic number, because the mean of its divisors is an integer number (27217905).

Almost surely, 2^105242537 is an apocalyptic number.

It is an amenable number.

105242537 is a deficient number, since it is larger than the sum of its proper divisors (3629083).

105242537 is an equidigital number, since it uses as much as digits as its factorization.

105242537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629082.

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 105242537 is about 10258.7785335292. The cubic root of 105242537 is about 472.1323616746.

The spelling of 105242537 in words is "one hundred five million, two hundred forty-two thousand, five hundred thirty-seven".