105535001 has 16 divisors (see below), whose sum is σ = 125229888. Its totient is φ = 87672000.

The previous prime is 105534967. The next prime is 105535009. The reversal of 105535001 is 100535501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105535001 is a prime.

It is a super-2 number, since 2×105535001² = 22275272872140002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105535009) 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, 10790 + ... + 18096.

It is an arithmetic number, because the mean of its divisors is an integer number (7826868).

Almost surely, 2^105535001 is an apocalyptic number.

105535001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105535001 is a deficient number, since it is larger than the sum of its proper divisors (19694887).

105535001 is a wasteful number, since it uses less digits than its factorization.

105535001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432.

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 105535001 is about 10273.0229728157. The cubic root of 105535001 is about 472.5693016311.

The spelling of 105535001 in words is "one hundred five million, five hundred thirty-five thousand, one".