106809400 has 24 divisors (see below), whose sum is σ = 248332320. Its totient is φ = 42723680.

The previous prime is 106809389. The next prime is 106809421. The reversal of 106809400 is 4908601.

It is a super-2 number, since 2×106809400² = 22816495856720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 266824 + ... + 267223.

It is an arithmetic number, because the mean of its divisors is an integer number (10347180).

Almost surely, 2^106809400 is an apocalyptic number.

106809400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106809400 is an abundant number, since it is smaller than the sum of its proper divisors (141522920).

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

106809400 is a wasteful number, since it uses less digits than its factorization.

106809400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534063 (or 534054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106809400 is about 10334.8633275917. The cubic root of 106809400 is about 474.4638826638.

The spelling of 106809400 in words is "one hundred six million, eight hundred nine thousand, four hundred".