10500840 has 160 divisors (see below), whose sum is σ = 40423680. Its totient is φ = 2395008.

The previous prime is 10500839. The next prime is 10500851. The reversal of 10500840 is 4800501.

It is a super-2 number, since 2×10500840² = 220535281411200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22449 + ... + 22911.

It is an arithmetic number, because the mean of its divisors is an integer number (252648).

Almost surely, 2^10500840 is an apocalyptic number.

10500840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3240×3241.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211840).

10500840 is an abundant number, since it is smaller than the sum of its proper divisors (29922840).

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

10500840 is a wasteful number, since it uses less digits than its factorization.

10500840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10500840 is about 3240.4999614257. The cubic root of 10500840 is about 218.9817961975.

The spelling of 10500840 in words is "ten million, five hundred thousand, eight hundred forty".