10506000 has 160 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 2611200.

The previous prime is 10505987. The next prime is 10506007. The reversal of 10506000 is 60501.

It is a super-2 number, since 2×10506000² = 220752072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101949 + ... + 102051.

Almost surely, 2^10506000 is an apocalyptic number.

10506000 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 10506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

10506000 is an abundant number, since it is smaller than the sum of its proper divisors (25705968).

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

10506000 is a wasteful number, since it uses less digits than its factorization.

10506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10506000 is about 3241.2960370815. The cubic root of 10506000 is about 219.0176587583.

Adding to 10506000 its reverse (60501), we get a palindrome (10566501).

The spelling of 10506000 in words is "ten million, five hundred six thousand".