10501980 has 48 divisors (see below), whose sum is σ = 29713824. Its totient is φ = 2771200.

The previous prime is 10501951. The next prime is 10501987. The reversal of 10501980 is 8910501.

10501980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10501980² = 220583167840800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10501980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501987) 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, 5194 + ... + 6926.

It is an arithmetic number, because the mean of its divisors is an integer number (619038).

Almost surely, 2^10501980 is an apocalyptic number.

10501980 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 10501980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856912).

10501980 is an abundant number, since it is smaller than the sum of its proper divisors (19211844).

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

10501980 is a wasteful number, since it uses less digits than its factorization.

10501980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 10501980 is about 3240.6758554351. The cubic root of 10501980 is about 218.9897203323.

The spelling of 10501980 in words is "ten million, five hundred one thousand, nine hundred eighty".