10506510 has 160 divisors (see below), whose sum is σ = 34499520. Its totient is φ = 2239488.

The previous prime is 10506499. The next prime is 10506523. The reversal of 10506510 is 1560501.

10506510 is a `hidden beast` number, since 10 + 5 + 0 + 651 + 0 = 666.

It is a super-3 number, since 3×10506510³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96336 + ... + 96444.

It is an arithmetic number, because the mean of its divisors is an integer number (215622).

Almost surely, 2^10506510 is an apocalyptic number.

10506510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249760).

10506510 is an abundant number, since it is smaller than the sum of its proper divisors (23993010).

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

10506510 is a wasteful number, since it uses less digits than its factorization.

10506510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10506510 is about 3241.3747083606. The cubic root of 10506510 is about 219.0212026760.

The spelling of 10506510 in words is "ten million, five hundred six thousand, five hundred ten".