100845129 has 32 divisors (see below), whose sum is σ = 168514560. Its totient is φ = 52113600.

The previous prime is 100845119. The next prime is 100845131. The reversal of 100845129 is 921548001.

It is a happy number.

It is not a de Polignac number, because 100845129 - 2⁴ = 100845113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100845096 and 100845105.

It is not an unprimeable number, because it can be changed into a prime (100845109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47707 + ... + 49775.

It is an arithmetic number, because the mean of its divisors is an integer number (5266080).

Almost surely, 2^100845129 is an apocalyptic number.

It is an amenable number.

100845129 is a deficient number, since it is larger than the sum of its proper divisors (67669431).

100845129 is a wasteful number, since it uses less digits than its factorization.

100845129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 100845129 is about 10042.1675449078. The cubic root of 100845129 is about 465.4627974221.

The spelling of 100845129 in words is "one hundred million, eight hundred forty-five thousand, one hundred twenty-nine".