10951400304100 has 81 divisors (see below), whose sum is σ = 23935879705521. Its totient is φ = 4349201289600.

The previous prime is 10951400304083. The next prime is 10951400304133. The reversal of 10951400304100 is 140300415901.

The square root of 10951400304100 is 3309290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9371471973796 + 1579928330304 = 3061286^2 + 1256952^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4930840990 + ... + 4930843210.

Almost surely, 2^{10951400304100} is an apocalyptic number.

10951400304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10951400304100 is the 3309290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10951400304100

10951400304100 is an abundant number, since it is smaller than the sum of its proper divisors (12984479401421).

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

10951400304100 is an frugal number, since it uses more digits than its factorization.

10951400304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10951400304100 in words is "ten trillion, nine hundred fifty-one billion, four hundred million, three hundred four thousand, one hundred".