10100045106 has 12 divisors (see below), whose sum is σ = 21883431102. Its totient is φ = 3366681696.

The previous prime is 10100045077. The next prime is 10100045129. The reversal of 10100045106 is 60154000101.

It can be written as a sum of positive squares in only one way, i.e., 8910416025 + 1189629081 = 94395^2 + 34491^2 .

It is a super-2 number, since 2×10100045106² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 561113617 = 10100045106 / (1 + 0 + 1 + 0 + 0 + 0 + 4 + 5 + 1 + 0 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280556791 + ... + 280556826.

Almost surely, 2^10100045106 is an apocalyptic number.

10100045106 is an abundant number, since it is smaller than the sum of its proper divisors (11783385996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100045106 is a wasteful number, since it uses less digits than its factorization.

10100045106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561113625 (or 561113622 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10100045106 its reverse (60154000101), we get a palindrome (70254045207).

The spelling of 10100045106 in words is "ten billion, one hundred million, forty-five thousand, one hundred six".