105501541 has 8 divisors (see below), whose sum is σ = 114727320. Its totient is φ = 96611328.

The previous prime is 105501503. The next prime is 105501581. The reversal of 105501541 is 145105501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49999041 + 55502500 = 7071^2 + 7450^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105501541 - 2¹⁵ = 105468773 is a prime.

It is a super-2 number, since 2×105501541² = 22261150306749362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83236 + ... + 84493.

It is an arithmetic number, because the mean of its divisors is an integer number (14340915).

Almost surely, 2^105501541 is an apocalyptic number.

It is an amenable number.

105501541 is a deficient number, since it is larger than the sum of its proper divisors (9225779).

105501541 is a wasteful number, since it uses less digits than its factorization.

105501541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167783.

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 105501541 is about 10271.3943065194. The cubic root of 105501541 is about 472.5193534620.

The spelling of 105501541 in words is "one hundred five million, five hundred one thousand, five hundred forty-one".