106661700 has 108 divisors (see below), whose sum is σ = 345200128. Its totient is φ = 27518400.

The previous prime is 106661693. The next prime is 106661701. The reversal of 106661700 is 7166601.

It is a super-2 number, since 2×106661700² = 22753436493780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661701) 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 35 ways as a sum of consecutive naturals, for example, 25989 + ... + 29811.

Almost surely, 2^106661700 is an apocalyptic number.

106661700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172600064).

106661700 is an abundant number, since it is smaller than the sum of its proper divisors (238538428).

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

106661700 is a wasteful number, since it uses less digits than its factorization.

106661700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106661700 is about 10327.7151393713. The cubic root of 106661700 is about 474.2450796913.

The spelling of 106661700 in words is "one hundred six million, six hundred sixty-one thousand, seven hundred".