10110530400 has 144 divisors (see below), whose sum is σ = 33449765328. Its totient is φ = 2651904000.

The previous prime is 10110530399. The next prime is 10110530429. The reversal of 10110530400 is 403501101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10110530400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111870 + ... + 180930.

It is an arithmetic number, because the mean of its divisors is an integer number (232290037).

Almost surely, 2^10110530400 is an apocalyptic number.

10110530400 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 10110530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724882664).

10110530400 is an abundant number, since it is smaller than the sum of its proper divisors (23339234928).

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

10110530400 is a wasteful number, since it uses less digits than its factorization.

10110530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69145 (or 69132 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 10110530400 in words is "ten billion, one hundred ten million, five hundred thirty thousand, four hundred".