100845135 has 32 divisors (see below), whose sum is σ = 180264960. Its totient is φ = 53488800.

The previous prime is 100845131. The next prime is 100845149. The reversal of 100845135 is 531548001.

It is not a de Polignac number, because 100845135 - 2² = 100845131 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100845099 and 100845108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100845131) 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, 23830 + ... + 27740.

It is an arithmetic number, because the mean of its divisors is an integer number (5633280).

Almost surely, 2^100845135 is an apocalyptic number.

100845135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100845135 is a deficient number, since it is larger than the sum of its proper divisors (79419825).

100845135 is a wasteful number, since it uses less digits than its factorization.

100845135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 100845135 is about 10042.1678436481. The cubic root of 100845135 is about 465.4628066533.

The spelling of 100845135 in words is "one hundred million, eight hundred forty-five thousand, one hundred thirty-five".