100010834109 has 64 divisors (see below), whose sum is σ = 161129472000. Its totient is φ = 61075503360.

The previous prime is 100010834051. The next prime is 100010834159. The reversal of 100010834109 is 901438010001.

It is not a de Polignac number, because 100010834109 - 2²⁷ = 99876616381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010834159) 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 63 ways as a sum of consecutive naturals, for example, 28257862 + ... + 28261400.

It is an arithmetic number, because the mean of its divisors is an integer number (2517648000).

Almost surely, 2^100010834109 is an apocalyptic number.

100010834109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100010834109 is a deficient number, since it is larger than the sum of its proper divisors (61118637891).

100010834109 is a wasteful number, since it uses less digits than its factorization.

100010834109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 100010834109 in words is "one hundred billion, ten million, eight hundred thirty-four thousand, one hundred nine".