102211993 has 8 divisors (see below), whose sum is σ = 110153736. Its totient is φ = 94281600.

The previous prime is 102211951. The next prime is 102211997. The reversal of 102211993 is 399112201.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 101062809 = 1072^2 + 10053^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102211997) 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, 30123 + ... + 33343.

It is an arithmetic number, because the mean of its divisors is an integer number (13769217).

Almost surely, 2^102211993 is an apocalyptic number.

102211993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102211993 is a deficient number, since it is larger than the sum of its proper divisors (7941743).

102211993 is a wasteful number, since it uses less digits than its factorization.

102211993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 102211993 is about 10109.9947082083. The cubic root of 102211993 is about 467.5563419756.

The spelling of 102211993 in words is "one hundred two million, two hundred eleven thousand, nine hundred ninety-three".