105154401 has 16 divisors (see below), whose sum is σ = 161949888. Its totient is φ = 59980800.

The previous prime is 105154373. The next prime is 105154403. The reversal of 105154401 is 104451501.

It is not a de Polignac number, because 105154401 - 2¹⁴ = 105138017 is a prime.

It is a super-2 number, since 2×105154401² = 22114896099337602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105154403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93160 + ... + 94281.

It is an arithmetic number, because the mean of its divisors is an integer number (10121868).

Almost surely, 2^105154401 is an apocalyptic number.

105154401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105154401 is a deficient number, since it is larger than the sum of its proper divisors (56795487).

105154401 is a wasteful number, since it uses less digits than its factorization.

105154401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187472.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105154401 is about 10254.4819956934. The cubic root of 105154401 is about 472.0005281642. Note that the first 3 decimals are identical.

The spelling of 105154401 in words is "one hundred five million, one hundred fifty-four thousand, four hundred one".