105401153 has 16 divisors (see below), whose sum is σ = 126173376. Its totient is φ = 86773440.

The previous prime is 105401137. The next prime is 105401281. The reversal of 105401153 is 351104501.

It is not a de Polignac number, because 105401153 - 2⁴ = 105401137 is a prime.

It is a super-2 number, since 2×105401153² = 22218806107458818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105401753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626 + ... + 14532.

It is an arithmetic number, because the mean of its divisors is an integer number (7885836).

Almost surely, 2^105401153 is an apocalyptic number.

105401153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105401153 is a deficient number, since it is larger than the sum of its proper divisors (20772223).

105401153 is a wasteful number, since it uses less digits than its factorization.

105401153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105401153 is about 10266.5063677962. The cubic root of 105401153 is about 472.3694336101.

Adding to 105401153 its reverse (351104501), we get a palindrome (456505654).

The spelling of 105401153 in words is "one hundred five million, four hundred one thousand, one hundred fifty-three".