10226160400 has 60 divisors (see below), whose sum is σ = 24585166900. Its totient is φ = 4087664640.

The previous prime is 10226160379. The next prime is 10226160421. The reversal of 10226160400 is 406162201.

It is an interprime number because it is at equal distance from previous prime (10226160379) and next prime (10226160421).

It can be written as a sum of positive squares in 6 ways, for example, as 7376656 + 10218783744 = 2716^2 + 101088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635656 + ... + 651544.

Almost surely, 2^10226160400 is an apocalyptic number.

10226160400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226160400 is an abundant number, since it is smaller than the sum of its proper divisors (14359006500).

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

10226160400 is a wasteful number, since it uses less digits than its factorization.

10226160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516 (or 17505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 10226160400 in words is "ten billion, two hundred twenty-six million, one hundred sixty thousand, four hundred".