106164800 has 84 divisors (see below), whose sum is σ = 298582080. Its totient is φ = 36395520.

The previous prime is 106164791. The next prime is 106164811. The reversal of 106164800 is 8461601.

It is a super-2 number, since 2×106164800² = 22541929518080000, 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 106164800.

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, 6461 + ... + 15939.

Almost surely, 2^106164800 is an apocalyptic number.

106164800 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 106164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149291040).

106164800 is an abundant number, since it is smaller than the sum of its proper divisors (192417280).

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

106164800 is an equidigital number, since it uses as much as digits as its factorization.

106164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 106164800 is about 10303.6304281549. The cubic root of 106164800 is about 473.5074851247.

The spelling of 106164800 in words is "one hundred six million, one hundred sixty-four thousand, eight hundred".