106633700 has 36 divisors (see below), whose sum is σ = 243578160. Its totient is φ = 40407840.

The previous prime is 106633699. The next prime is 106633717. The reversal of 106633700 is 7336601.

It is a super-2 number, since 2×106633700² = 22741491951380000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106633700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26162 + ... + 29961.

It is an arithmetic number, because the mean of its divisors is an integer number (6766060).

Almost surely, 2^106633700 is an apocalyptic number.

106633700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106633700 is an abundant number, since it is smaller than the sum of its proper divisors (136944460).

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

106633700 is a wasteful number, since it uses less digits than its factorization.

106633700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56156 (or 56149 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 106633700 is about 10326.3594746648. The cubic root of 106633700 is about 474.2035776828.

The spelling of 106633700 in words is "one hundred six million, six hundred thirty-three thousand, seven hundred".