106789900 has 72 divisors (see below), whose sum is σ = 266198240. Its totient is φ = 36426240.

The previous prime is 106789889. The next prime is 106789901. The reversal of 106789900 is 9987601.

It is a super-2 number, since 2×106789900² = 22808165484020000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106789901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260896 + ... + 261304.

Almost surely, 2^106789900 is an apocalyptic number.

106789900 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 106789900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133099120).

106789900 is an abundant number, since it is smaller than the sum of its proper divisors (159408340).

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

106789900 is a wasteful number, since it uses less digits than its factorization.

106789900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 106789900 is about 10333.9198758264. The cubic root of 106789900 is about 474.4350069006.

The spelling of 106789900 in words is "one hundred six million, seven hundred eighty-nine thousand, nine hundred".