10729620872100 has 729 divisors, whose sum is σ = 37593898854057. Its totient is φ = 2558434844160.

The previous prime is 10729620872081. The next prime is 10729620872119. The reversal of 10729620872100 is 127802692701.

It is a happy number.

The square root of 10729620872100 is 3275610.

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

10729620872100 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 9 + 620 + 8 + 7 + 2 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10729620872081) and next prime (10729620872119).

It can be written as a sum of positive squares in 13 ways, for example, as 6192005163876 + 4537615708224 = 2488374^2 + 2130168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 242 ways as a sum of consecutive naturals, for example, 47267052187 + ... + 47267052413.

Almost surely, 2^{10729620872100} is an apocalyptic number.

10729620872100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10729620872100 is the 3275610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10729620872100

10729620872100 is an abundant number, since it is smaller than the sum of its proper divisors (26864277981957).

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

10729620872100 is a wasteful number, since it uses less digits than its factorization.

10729620872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10729620872100 in words is "ten trillion, seven hundred twenty-nine billion, six hundred twenty million, eight hundred seventy-two thousand, one hundred".