106819900 has 108 divisors (see below), whose sum is σ = 267873480. Its totient is φ = 36662400.

The previous prime is 106819897. The next prime is 106819907. The reversal of 106819900 is 9918601.

It is a super-2 number, since 2×106819900² = 22820982072020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106819907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396966 + ... + 397234.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^106819900 is an apocalyptic number.

106819900 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 106819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133936740).

106819900 is an abundant number, since it is smaller than the sum of its proper divisors (161053580).

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

106819900 is a wasteful number, since it uses less digits than its factorization.

106819900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 106819900 is about 10335.3713044090. The cubic root of 106819900 is about 474.4794296959.

The spelling of 106819900 in words is "one hundred six million, eight hundred nineteen thousand, nine hundred".