106891600 has 30 divisors (see below), whose sum is σ = 256808030. Its totient is φ = 42756480.

The previous prime is 106891591. The next prime is 106891601. The reversal of 106891600 is 6198601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 141376 + 106750224 = 376^2 + 10332^2 .

It is a super-2 number, since 2×106891600² = 22851628301120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106891601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133215 + ... + 134014.

Almost surely, 2^106891600 is an apocalyptic number.

106891600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106891600 is an abundant number, since it is smaller than the sum of its proper divisors (149916430).

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

106891600 is a wasteful number, since it uses less digits than its factorization.

106891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267247 (or 267236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 106891600 is about 10338.8393932781. The cubic root of 106891600 is about 474.5855664933.

The spelling of 106891600 in words is "one hundred six million, eight hundred ninety-one thousand, six hundred".