105054101 has 12 divisors (see below), whose sum is σ = 111967812. Its totient is φ = 98546688.

The previous prime is 105054083. The next prime is 105054113. The reversal of 105054101 is 101450501.

It can be written as a sum of positive squares in 6 ways, for example, as 12100 + 105042001 = 110^2 + 10249^2 .

It is not a de Polignac number, because 105054101 - 2²² = 100859797 is a prime.

It is a super-2 number, since 2×105054101² = 22072728273836402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105054101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105054151) 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, 171071 + ... + 171683.

It is an arithmetic number, because the mean of its divisors is an integer number (9330651).

Almost surely, 2^105054101 is an apocalyptic number.

It is an amenable number.

105054101 is a deficient number, since it is larger than the sum of its proper divisors (6913711).

105054101 is an equidigital number, since it uses as much as digits as its factorization.

105054101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105054101 is about 10249.5902844943. The cubic root of 105054101 is about 471.8504101392.

The spelling of 105054101 in words is "one hundred five million, fifty-four thousand, one hundred one".