10266833556100 has 81 divisors (see below), whose sum is σ = 24489359998831. Its totient is φ = 3733265852800.

The previous prime is 10266833556043. The next prime is 10266833556143. The reversal of 10266833556100 is 165533866201.

The square root of 10266833556100 is 3204190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1550687410756 + 8716146145344 = 1245266^2 + 2952312^2 .

It is a super-4 number, since 4×10266833556100⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352446336 + ... + 352475464.

Almost surely, 2^{10266833556100} is an apocalyptic number.

10266833556100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10266833556100 is the 3204190-th square number.

It is an amenable number.

10266833556100 is an abundant number, since it is smaller than the sum of its proper divisors (14222526442731).

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

10266833556100 is an frugal number, since it uses more digits than its factorization.

10266833556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58294 (or 29147 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 10266833556100 in words is "ten trillion, two hundred sixty-six billion, eight hundred thirty-three million, five hundred fifty-six thousand, one hundred".