106477600 has 36 divisors (see below), whose sum is σ = 259940394. Its totient is φ = 42590720.

The previous prime is 106477597. The next prime is 106477621. The reversal of 106477600 is 6774601.

It can be written as a sum of positive squares in 3 ways, for example, as 49505296 + 56972304 = 7036^2 + 7548^2 .

It is a super-2 number, since 2×106477600² = 22674958603520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65749 + ... + 67348.

Almost surely, 2^106477600 is an apocalyptic number.

106477600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106477600 is an abundant number, since it is smaller than the sum of its proper divisors (153462794).

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

106477600 is a wasteful number, since it uses less digits than its factorization.

106477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133117 (or 133104 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 106477600 is about 10318.7983796564. The cubic root of 106477600 is about 473.9720707312.

The spelling of 106477600 in words is "one hundred six million, four hundred seventy-seven thousand, six hundred".