10052806100 has 36 divisors (see below), whose sum is σ = 22172218908. Its totient is φ = 3955200000.

The previous prime is 10052806097. The next prime is 10052806103. The reversal of 10052806100 is 160825001.

10052806100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10052806097) and next prime (10052806103).

It can be written as a sum of positive squares in 6 ways, for example, as 3833591056 + 6219215044 = 61916^2 + 78862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052806103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 817901 + ... + 830100.

Almost surely, 2^10052806100 is an apocalyptic number.

10052806100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10052806100 is an abundant number, since it is smaller than the sum of its proper divisors (12119412808).

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

10052806100 is a wasteful number, since it uses less digits than its factorization.

10052806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648076 (or 1648069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 10052806100 in words is "ten billion, fifty-two million, eight hundred six thousand, one hundred".