100105101 has 12 divisors (see below), whose sum is σ = 146633760. Its totient is φ = 65796360.

The previous prime is 100105097. The next prime is 100105111. The reversal of 100105101 is 101501001.

It is not a de Polignac number, because 100105101 - 2² = 100105097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77691 + ... + 78968.

It is an arithmetic number, because the mean of its divisors is an integer number (12219480).

Almost surely, 2^100105101 is an apocalyptic number.

It is an amenable number.

100105101 is a deficient number, since it is larger than the sum of its proper divisors (46528659).

100105101 is a wasteful number, since it uses less digits than its factorization.

100105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156736 (or 156733 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 100105101 is about 10005.2536699476. The cubic root of 100105101 is about 464.3214383016.

Adding to 100105101 its reverse (101501001), we get a palindrome (201606102).

The spelling of 100105101 in words is "one hundred million, one hundred five thousand, one hundred one".