105598401 has 8 divisors (see below), whose sum is σ = 140846784. Its totient is φ = 70374480.

The previous prime is 105598399. The next prime is 105598417. The reversal of 105598401 is 104895501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105598401 - 2¹ = 105598399 is a prime.

It is a super-2 number, since 2×105598401² = 22302044587513602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105598421) 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 7 ways as a sum of consecutive naturals, for example, 10116 + ... + 17706.

It is an arithmetic number, because the mean of its divisors is an integer number (17605848).

Almost surely, 2^105598401 is an apocalyptic number.

It is an amenable number.

105598401 is a deficient number, since it is larger than the sum of its proper divisors (35248383).

105598401 is an equidigital number, since it uses as much as digits as its factorization.

105598401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231.

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 105598401 is about 10276.1082613994. The cubic root of 105598401 is about 472.6639144634.

The spelling of 105598401 in words is "one hundred five million, five hundred ninety-eight thousand, four hundred one".