102838869225 has 27 divisors (see below), whose sum is σ = 184204457463. Its totient is φ = 54844831440.

The previous prime is 102838869193. The next prime is 102838869227. The reversal of 102838869225 is 522968838201.

It is a happy number.

The square root of 102838869225 is 320685.

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

102838869225 is a `hidden beast` number, since 1 + 0 + 283 + 88 + 69 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37021992921 + 65816876304 = 192411^2 + 256548^2 .

It is not a de Polignac number, because 102838869225 - 2⁵ = 102838869193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102838869227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4799586 + ... + 4820964.

Almost surely, 2^102838869225 is an apocalyptic number.

102838869225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102838869225 is the 320685-th square number.

102838869225 is the 160343-rd centered octagonal number.

It is an amenable number.

102838869225 is a deficient number, since it is larger than the sum of its proper divisors (81365588238).

102838869225 is an frugal number, since it uses more digits than its factorization.

102838869225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42774 (or 21387 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 102838869225 in words is "one hundred two billion, eight hundred thirty-eight million, eight hundred sixty-nine thousand, two hundred twenty-five".