102233132305 has 32 divisors (see below), whose sum is σ = 132249348000. Its totient is φ = 75593613312.

The previous prime is 102233132297. The next prime is 102233132317. The reversal of 102233132305 is 503231332201.

It can be written as a sum of positive squares in 16 ways, for example, as 13195346641 + 89037785664 = 114871^2 + 298392^2 .

It is not a de Polignac number, because 102233132305 - 2³ = 102233132297 is a prime.

It is a super-2 number, since 2×102233132305² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102233132305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998121 + ... + 1095769.

It is an arithmetic number, because the mean of its divisors is an integer number (4132792125).

Almost surely, 2^102233132305 is an apocalyptic number.

It is an amenable number.

102233132305 is a deficient number, since it is larger than the sum of its proper divisors (30016215695).

102233132305 is a wasteful number, since it uses less digits than its factorization.

102233132305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97893.

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 102233132305 its reverse (503231332201), we get a palindrome (605464464506).

The spelling of 102233132305 in words is "one hundred two billion, two hundred thirty-three million, one hundred thirty-two thousand, three hundred five".