106770800 has 30 divisors (see below), whose sum is σ = 256517808. Its totient is φ = 42708160.

The previous prime is 106770787. The next prime is 106770803. The reversal of 106770800 is 8077601.

It is a super-2 number, since 2×106770800² = 22800007465280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106770803) 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 5 ways as a sum of consecutive naturals, for example, 133064 + ... + 133863.

Almost surely, 2^106770800 is an apocalyptic number.

106770800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106770800 is an abundant number, since it is smaller than the sum of its proper divisors (149747008).

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

106770800 is a wasteful number, since it uses less digits than its factorization.

106770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266945 (or 266934 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 106770800 is about 10332.9956934086. The cubic root of 106770800 is about 474.4067200528.

The spelling of 106770800 in words is "one hundred six million, seven hundred seventy thousand, eight hundred".