105542129 has 24 divisors (see below), whose sum is σ = 135340800. Its totient is φ = 82208280.

The previous prime is 105542117. The next prime is 105542149. The reversal of 105542129 is 921245501.

It is not a de Polignac number, because 105542129 - 2⁸ = 105541873 is a prime.

It is a super-2 number, since 2×105542129² = 22278281987705282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105542149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40232 + ... + 42774.

It is an arithmetic number, because the mean of its divisors is an integer number (5639200).

Almost surely, 2^105542129 is an apocalyptic number.

It is an amenable number.

105542129 is a deficient number, since it is larger than the sum of its proper divisors (29798671).

105542129 is an equidigital number, since it uses as much as digits as its factorization.

105542129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105542129 is about 10273.3698950247. The cubic root of 105542129 is about 472.5799407496.

The spelling of 105542129 in words is "one hundred five million, five hundred forty-two thousand, one hundred twenty-nine".