106845310 has 32 divisors (see below), whose sum is σ = 225947232. Its totient is φ = 35863680.

The previous prime is 106845293. The next prime is 106845311. The reversal of 106845310 is 13548601.

It is a super-2 number, since 2×106845310² = 22831840537992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106845311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35929 + ... + 38788.

It is an arithmetic number, because the mean of its divisors is an integer number (7060851).

Almost surely, 2^106845310 is an apocalyptic number.

106845310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106845310 is an abundant number, since it is smaller than the sum of its proper divisors (119101922).

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

106845310 is a wasteful number, since it uses less digits than its factorization.

106845310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74748.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106845310 is about 10336.6005050016. The cubic root of 106845310 is about 474.5170492981.

The spelling of 106845310 in words is "one hundred six million, eight hundred forty-five thousand, three hundred ten".