102200293 has 16 divisors (see below), whose sum is σ = 117532800. Its totient is φ = 88127424.

The previous prime is 102200279. The next prime is 102200303. The reversal of 102200293 is 392002201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102200293 - 2⁵ = 102200261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102200293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200233) 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, 8883 + ... + 16831.

It is an arithmetic number, because the mean of its divisors is an integer number (7345800).

Almost surely, 2^102200293 is an apocalyptic number.

102200293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102200293 is a deficient number, since it is larger than the sum of its proper divisors (15332507).

102200293 is a wasteful number, since it uses less digits than its factorization.

102200293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102200293 is about 10109.4160563309. The cubic root of 102200293 is about 467.5385012187.

Adding to 102200293 its reverse (392002201), we get a palindrome (494202494).

The spelling of 102200293 in words is "one hundred two million, two hundred thousand, two hundred ninety-three".