105106001 has 48 divisors (see below), whose sum is σ = 146095488. Its totient is φ = 73382400.

The previous prime is 105105997. The next prime is 105106003. The reversal of 105106001 is 100601501.

It is not a de Polignac number, because 105106001 - 2² = 105105997 is a prime.

It is a super-2 number, since 2×105106001² = 22094542892424002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105106003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533435 + ... + 533631.

It is an arithmetic number, because the mean of its divisors is an integer number (3043656).

Almost surely, 2^105106001 is an apocalyptic number.

105106001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105106001 is a deficient number, since it is larger than the sum of its proper divisors (40989487).

105106001 is a wasteful number, since it uses less digits than its factorization.

105106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 105106001 is about 10252.1217803926. The cubic root of 105106001 is about 471.9281002829.

Adding to 105106001 its reverse (100601501), we get a palindrome (205707502).

The spelling of 105106001 in words is "one hundred five million, one hundred six thousand, one".