102823476921 has 135 divisors (see below), whose sum is σ = 175270198719. Its totient is φ = 60027739200.

The previous prime is 102823476887. The next prime is 102823476929. The reversal of 102823476921 is 129674328201.

The square root of 102823476921 is 320661.

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

102823476921 is a `hidden beast` number, since 1 + 0 + 282 + 347 + 6 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4954611321 + 97868865600 = 70389^2 + 312840^2 .

It is not a de Polignac number, because 102823476921 - 2¹⁵ = 102823444153 is a prime.

It is a super-2 number, since 2×102823476921² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102823476929) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1301562960 + ... + 1301563038.

Almost surely, 2^102823476921 is an apocalyptic number.

102823476921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102823476921 is the 320661-st square number.

102823476921 is the 160331-st centered octagonal number.

It is an amenable number.

102823476921 is a deficient number, since it is larger than the sum of its proper divisors (72446721798).

102823476921 is an frugal number, since it uses more digits than its factorization.

102823476921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 102823476921 in words is "one hundred two billion, eight hundred twenty-three million, four hundred seventy-six thousand, nine hundred twenty-one".