10500980 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 3561600.

The previous prime is 10500923. The next prime is 10500983. The reversal of 10500980 is 8900501.

It is a super-2 number, since 2×10500980² = 220541161920800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14630 + ... + 15330.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 2^10500980 is an apocalyptic number.

10500980 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 10500980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

10500980 is an abundant number, since it is smaller than the sum of its proper divisors (14973196).

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

10500980 is a wasteful number, since it uses less digits than its factorization.

10500980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 10500980 is about 3240.5215629587. The cubic root of 10500980 is about 218.9827693678.

The spelling of 10500980 in words is "ten million, five hundred thousand, nine hundred eighty".