106516000 has 96 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 41184000.

The previous prime is 106515989. The next prime is 106516019. The reversal of 106516000 is 615601.

It is a super-2 number, since 2×106516000² = 22691316512000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123571 + ... + 124429.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 2^106516000 is an apocalyptic number.

106516000 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 106516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

106516000 is an abundant number, since it is smaller than the sum of its proper divisors (163950560).

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

106516000 is an equidigital number, since it uses as much as digits as its factorization.

106516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106516000 is about 10320.6588936947. The cubic root of 106516000 is about 474.0290415245.

The spelling of 106516000 in words is "one hundred six million, five hundred sixteen thousand".