100106001 has 6 divisors (see below), whose sum is σ = 144597570. Its totient is φ = 66737328.

The previous prime is 100105981. The next prime is 100106023. The reversal of 100106001 is 100601001.

It can be written as a sum of positive squares in only one way, i.e., 99201600 + 904401 = 9960^2 + 951^2 .

It is not a de Polignac number, because 100106001 - 2¹¹ = 100103953 is a prime.

It is a super-2 number, since 2×100106001² = 20042422872424002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11122889 = 100106001 / (1 + 0 + 0 + 1 + 0 + 6 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561436 + ... + 5561453.

It is an arithmetic number, because the mean of its divisors is an integer number (24099595).

Almost surely, 2^100106001 is an apocalyptic number.

It is an amenable number.

100106001 is a deficient number, since it is larger than the sum of its proper divisors (44491569).

100106001 is a wasteful number, since it uses less digits than its factorization.

100106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122895 (or 11122892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100106001 is about 10005.2986462174. The cubic root of 100106001 is about 464.3228297993.

Adding to 100106001 its reverse (100601001), we get a palindrome (200707002).

The spelling of 100106001 in words is "one hundred million, one hundred six thousand, one".