102993268 has 24 divisors (see below), whose sum is σ = 213091200. Its totient is φ = 42617568.

The previous prime is 102993263. The next prime is 102993269. The reversal of 102993268 is 862399201.

It is a happy number.

It is a super-2 number, since 2×102993268² = 21215226506639648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102993268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102993263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62608 + ... + 64231.

It is an arithmetic number, because the mean of its divisors is an integer number (8878800).

Almost surely, 2^102993268 is an apocalyptic number.

It is an amenable number.

102993268 is an abundant number, since it is smaller than the sum of its proper divisors (110097932).

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

102993268 is a wasteful number, since it uses less digits than its factorization.

102993268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126879 (or 126877 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 102993268 is about 10148.5598978377. The cubic root of 102993268 is about 468.7446020593.

The spelling of 102993268 in words is "one hundred two million, nine hundred ninety-three thousand, two hundred sixty-eight".