105237129 has 4 divisors (see below), whose sum is σ = 140316176. Its totient is φ = 70158084.

The previous prime is 105237109. The next prime is 105237137. The reversal of 105237129 is 921732501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105237129 - 2⁷ = 105237001 is a prime.

It is a super-2 number, since 2×105237129² = 22149706640325282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105237096 and 105237105.

It is not an unprimeable number, because it can be changed into a prime (105237109) 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, 17539519 + ... + 17539524.

It is an arithmetic number, because the mean of its divisors is an integer number (35079044).

Almost surely, 2^105237129 is an apocalyptic number.

It is an amenable number.

105237129 is a deficient number, since it is larger than the sum of its proper divisors (35079047).

105237129 is an equidigital number, since it uses as much as digits as its factorization.

105237129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35079046.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105237129 is about 10258.5149510053. The cubic root of 105237129 is about 472.1242745277.

The spelling of 105237129 in words is "one hundred five million, two hundred thirty-seven thousand, one hundred twenty-nine".