106510000 has 50 divisors (see below), whose sum is σ = 257895572. Its totient is φ = 42600000.

The previous prime is 106509979. The next prime is 106510043. The reversal of 106510000 is 15601.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×106510000² = 22688760200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4675 + ... + 15325.

Almost surely, 2^106510000 is an apocalyptic number.

106510000 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 106510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128947786).

106510000 is an abundant number, since it is smaller than the sum of its proper divisors (151385572).

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

106510000 is an equidigital number, since it uses as much as digits as its factorization.

106510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 106510000 is about 10320.3682104855. The cubic root of 106510000 is about 474.0201407407.

Adding to 106510000 its reverse (15601), we get a palindrome (106525601).

The spelling of 106510000 in words is "one hundred six million, five hundred ten thousand".