10441364316100 has 27 divisors (see below), whose sum is σ = 22657830685581. Its totient is φ = 4176532801200.

The previous prime is 10441364316073. The next prime is 10441364316113. The reversal of 10441364316100 is 161346314401.

The square root of 10441364316100 is 3231310.

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

It can be written as a sum of positive squares in only one way, i.e., 3758891153796 + 6682473162304 = 1938786^2 + 2585048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32151535 + ... + 32474665.

Almost surely, 2^{10441364316100} is an apocalyptic number.

10441364316100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10441364316100 is the 3231310-th square number.

It is an amenable number.

10441364316100 is an abundant number, since it is smaller than the sum of its proper divisors (12216466369481).

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

10441364316100 is an frugal number, since it uses more digits than its factorization.

10441364316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646276 (or 323138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10441364316100 in words is "ten trillion, four hundred forty-one billion, three hundred sixty-four million, three hundred sixteen thousand, one hundred".