10654936356100 has 81 divisors (see below), whose sum is σ = 23256507396031. Its totient is φ = 4237179755200.

The previous prime is 10654936356083. The next prime is 10654936356139. The reversal of 10654936356100 is 165363945601.

The square root of 10654936356100 is 3264190.

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 2261817476356 + 8393118879744 = 1503934^2 + 2897088^2 .

It is a super-2 number, since 2×10654936356100² (a number of 27 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6234602046 + ... + 6234603754.

Almost surely, 2^{10654936356100} is an apocalyptic number.

10654936356100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10654936356100 is the 3264190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10654936356100

10654936356100 is an abundant number, since it is smaller than the sum of its proper divisors (12601571039931).

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

10654936356100 is an frugal number, since it uses more digits than its factorization.

10654936356100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

Multiplying 10654936356100 by its sum of digits (49), we get a square (522091881448900 = 22849330²).

The spelling of 10654936356100 in words is "ten trillion, six hundred fifty-four billion, nine hundred thirty-six million, three hundred fifty-six thousand, one hundred".