103212993 has 16 divisors (see below), whose sum is σ = 148553216. Its totient is φ = 63365760.

The previous prime is 103212979. The next prime is 103213009. The reversal of 103212993 is 399212301.

It is a happy number.

It is not a de Polignac number, because 103212993 - 2⁸ = 103212737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103212993.

It is not an unprimeable number, because it can be changed into a prime (103212953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14928 + ... + 20718.

It is an arithmetic number, because the mean of its divisors is an integer number (9284576).

Almost surely, 2^103212993 is an apocalyptic number.

103212993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103212993 is a deficient number, since it is larger than the sum of its proper divisors (45340223).

103212993 is a wasteful number, since it uses less digits than its factorization.

103212993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 103212993 is about 10159.3795578273. The cubic root of 103212993 is about 469.0777039327.

The spelling of 103212993 in words is "one hundred three million, two hundred twelve thousand, nine hundred ninety-three".