10506540 has 48 divisors (see below), whose sum is σ = 32094720. Its totient is φ = 2546880.

The previous prime is 10506533. The next prime is 10506541. The reversal of 10506540 is 4560501.

It is a happy number.

It is a super-2 number, since 2×10506540² = 220774765543200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7300 + ... + 8619.

It is an arithmetic number, because the mean of its divisors is an integer number (668640).

Almost surely, 2^10506540 is an apocalyptic number.

10506540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506540 is an abundant number, since it is smaller than the sum of its proper divisors (21588180).

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

10506540 is a wasteful number, since it uses less digits than its factorization.

10506540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15942 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10506540 is about 3241.3793360235. The cubic root of 10506540 is about 219.0214111382.

The spelling of 10506540 in words is "ten million, five hundred six thousand, five hundred forty".