105020001 has 24 divisors (see below), whose sum is σ = 159222336. Its totient is φ = 66575520.

The previous prime is 105019997. The next prime is 105020009. The reversal of 105020001 is 100020501.

It is a happy number.

It is not a de Polignac number, because 105020001 - 2² = 105019997 is a prime.

It is a super-2 number, since 2×105020001² = 22058401220080002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (105020009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36066 + ... + 38868.

It is an arithmetic number, because the mean of its divisors is an integer number (6634264).

Almost surely, 2^105020001 is an apocalyptic number.

It is an amenable number.

105020001 is a deficient number, since it is larger than the sum of its proper divisors (54202335).

105020001 is a wasteful number, since it uses less digits than its factorization.

105020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105020001 is about 10247.9266683559. The cubic root of 105020001 is about 471.7993512401.

Adding to 105020001 its reverse (100020501), we get a palindrome (205040502).

The spelling of 105020001 in words is "one hundred five million, twenty thousand, one".