100010106 has 32 divisors (see below), whose sum is σ = 253994880. Its totient is φ = 28574208.

The previous prime is 100010077. The next prime is 100010107. The reversal of 100010106 is 601010001.

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 (100010107) 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, 131911 + ... + 132666.

It is an arithmetic number, because the mean of its divisors is an integer number (7937340).

Almost surely, 2^100010106 is an apocalyptic number.

100010106 is an abundant number, since it is smaller than the sum of its proper divisors (153984774).

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

100010106 is a wasteful number, since it uses less digits than its factorization.

100010106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264595 (or 264589 counting only the distinct ones).

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

The square root of 100010106 is about 10000.5052872342. The cubic root of 100010106 is about 464.1745188002.

Adding to 100010106 its reverse (601010001), we get a palindrome (701020107).

The spelling of 100010106 in words is "one hundred million, ten thousand, one hundred six".