10574478100 has 72 divisors (see below), whose sum is σ = 23892205176. Its totient is φ = 4058880000.

The previous prime is 10574478097. The next prime is 10574478113. The reversal of 10574478100 is 187447501.

10574478100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5482513936 + 5091964164 = 74044^2 + 71358^2 .

It is a super-2 number, since 2×10574478100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10574478100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228960 + ... + 271240.

It is an arithmetic number, because the mean of its divisors is an integer number (331836183).

Almost surely, 2^10574478100 is an apocalyptic number.

10574478100 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 10574478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946102588).

10574478100 is an abundant number, since it is smaller than the sum of its proper divisors (13317727076).

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

10574478100 is a wasteful number, since it uses less digits than its factorization.

10574478100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42397 (or 42390 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The spelling of 10574478100 in words is "ten billion, five hundred seventy-four million, four hundred seventy-eight thousand, one hundred".