106300845 has 96 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 47416320.

The previous prime is 106300837. The next prime is 106300849. The reversal of 106300845 is 548003601.

It is not a de Polignac number, because 106300845 - 2³ = 106300837 is a prime.

It is a super-2 number, since 2×106300845² = 22599739295428050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106300849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1095837 + ... + 1095933.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^106300845 is an apocalyptic number.

106300845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106300845 is an abundant number, since it is smaller than the sum of its proper divisors (113846355).

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

106300845 is an equidigital number, since it uses as much as digits as its factorization.

106300845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106300845 is about 10310.2301138238. The cubic root of 106300845 is about 473.7096576875.

The spelling of 106300845 in words is "one hundred six million, three hundred thousand, eight hundred forty-five".