10513800 has 240 divisors, whose sum is σ = 40510800. Its totient is φ = 2505600.

The previous prime is 10513799. The next prime is 10513807. The reversal of 10513800 is 831501.

It is a happy number.

It is a super-2 number, since 2×10513800² = 221079980880000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10513807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178171 + ... + 178229.

It is an arithmetic number, because the mean of its divisors is an integer number (168795).

Almost surely, 2^10513800 is an apocalyptic number.

10513800 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 10513800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

10513800 is an abundant number, since it is smaller than the sum of its proper divisors (29997000).

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

10513800 is a wasteful number, since it uses less digits than its factorization.

10513800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10513800 is about 3242.4990362373. The cubic root of 10513800 is about 219.0718473216.

It can be divided in two parts, 1051 and 3800, that added together give a triangular number (4851 = T₉₈).

The spelling of 10513800 in words is "ten million, five hundred thirteen thousand, eight hundred".