105597541 has 8 divisors (see below), whose sum is σ = 120826944. Its totient is φ = 90404160.

The previous prime is 105597539. The next prime is 105597553. The reversal of 105597541 is 145795501.

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

It is not a de Polignac number, because 105597541 - 2¹ = 105597539 is a prime.

It is a super-2 number, since 2×105597541² = 22301681330493362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105597541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105597581) 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, 2395 + ... + 14728.

It is an arithmetic number, because the mean of its divisors is an integer number (15103368).

Almost surely, 2^105597541 is an apocalyptic number.

It is an amenable number.

105597541 is a deficient number, since it is larger than the sum of its proper divisors (15229403).

105597541 is an equidigital number, since it uses as much as digits as its factorization.

105597541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18011.

The product of its (nonzero) digits is 31500, while the sum is 37.

The square root of 105597541 is about 10276.0664166791. The cubic root of 105597541 is about 472.6626313251.

It can be divided in two parts, 1055 and 97541, that added together give a square (98596 = 314²).

The spelling of 105597541 in words is "one hundred five million, five hundred ninety-seven thousand, five hundred forty-one".