10099804764361 has 9 divisors (see below), whose sum is σ = 10936519718439. Its totient is φ = 9322858569336.

The previous prime is 10099804764331. The next prime is 10099804764367. The reversal of 10099804764361 is 16346740899001.

The square root of 10099804764361 is 3178019.

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

10099804764361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1494053959225 + 8605750805136 = 1222315^2 + 2933556^2 .

It is not a de Polignac number, because 10099804764361 - 2¹³ = 10099804756169 is a prime.

It is a super-3 number, since 3×10099804764361³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10099804764296 and 10099804764305.

It is not an unprimeable number, because it can be changed into a prime (10099804764367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41192016 + ... + 41436478.

Almost surely, 2^{10099804764361} is an apocalyptic number.

10099804764361 is the 3178019-th square number.

10099804764361 is the 1589010-th centered octagonal number.

It is an amenable number.

10099804764361 is a deficient number, since it is larger than the sum of its proper divisors (836714954078).

10099804764361 is an frugal number, since it uses more digits than its factorization.

10099804764361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488952 (or 244476 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 10099804764361 in words is "ten trillion, ninety-nine billion, eight hundred four million, seven hundred sixty-four thousand, three hundred sixty-one".