106638700 has 72 divisors (see below), whose sum is σ = 269948000. Its totient is φ = 36550080.

The previous prime is 106638647. The next prime is 106638731. The reversal of 106638700 is 7836601.

It is a super-2 number, since 2×106638700² = 22743624675380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32746 + ... + 35854.

Almost surely, 2^106638700 is an apocalyptic number.

106638700 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 106638700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134974000).

106638700 is an abundant number, since it is smaller than the sum of its proper divisors (163309300).

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

106638700 is a wasteful number, since it uses less digits than its factorization.

106638700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 106638700 is about 10326.6015707008. The cubic root of 106638700 is about 474.2109892885.

The spelling of 106638700 in words is "one hundred six million, six hundred thirty-eight thousand, seven hundred".