105100401 has 16 divisors (see below), whose sum is σ = 160625664. Its totient is φ = 59880144.

The previous prime is 105100361. The next prime is 105100423. The reversal of 105100401 is 104001501.

It is a happy number.

It is not a de Polignac number, because 105100401 - 2⁶ = 105100337 is a prime.

It is a super-2 number, since 2×105100401² = 22092188580721602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105100451) 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 15 ways as a sum of consecutive naturals, for example, 76 + ... + 14498.

It is an arithmetic number, because the mean of its divisors is an integer number (10039104).

Almost surely, 2^105100401 is an apocalyptic number.

It is an amenable number.

105100401 is a deficient number, since it is larger than the sum of its proper divisors (55525263).

105100401 is a wasteful number, since it uses less digits than its factorization.

105100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105100401 is about 10251.8486625584. The cubic root of 105100401 is about 471.9197187624.

Adding to 105100401 its reverse (104001501), we get a palindrome (209101902).

It can be divided in two parts, 105100 and 401, that added together give a palindrome (105501).

The spelling of 105100401 in words is "one hundred five million, one hundred thousand, four hundred one".