10057061200 has 60 divisors (see below), whose sum is σ = 24216335100. Its totient is φ = 4013793280.

The previous prime is 10057061123. The next prime is 10057061227. The reversal of 10057061200 is 216075001.

It can be written as a sum of positive squares in 6 ways, for example, as 179881744 + 9877179456 = 13412^2 + 99384^2 .

It is a super-2 number, since 2×10057061200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151602 + ... + 207598.

It is an arithmetic number, because the mean of its divisors is an integer number (403605585).

Almost surely, 2^10057061200 is an apocalyptic number.

10057061200 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 10057061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108167550).

10057061200 is an abundant number, since it is smaller than the sum of its proper divisors (14159273900).

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

10057061200 is a wasteful number, since it uses less digits than its factorization.

10057061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56464 (or 56453 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 10057061200 in words is "ten billion, fifty-seven million, sixty-one thousand, two hundred".