106845300 has 54 divisors (see below), whose sum is σ = 334903478. Its totient is φ = 28491840.

The previous prime is 106845293. The next prime is 106845311. The reversal of 106845300 is 3548601.

It can be written as a sum of positive squares in 3 ways, for example, as 219024 + 106626276 = 468^2 + 10326^2 .

It is a super-2 number, since 2×106845300² = 22831836264180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58459 + ... + 60258.

Almost surely, 2^106845300 is an apocalyptic number.

106845300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106845300 is an abundant number, since it is smaller than the sum of its proper divisors (228058178).

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

106845300 is a wasteful number, since it uses less digits than its factorization.

106845300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118737 (or 118727 counting only the distinct ones).

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

The square root of 106845300 is about 10336.6000212836. The cubic root of 106845300 is about 474.5170344943.

The spelling of 106845300 in words is "one hundred six million, eight hundred forty-five thousand, three hundred".