102200107 has 16 divisors (see below), whose sum is σ = 114337440. Its totient is φ = 90782208.

The previous prime is 102200101. The next prime is 102200117. The reversal of 102200107 is 701002201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200107 is a prime.

It is a super-2 number, since 2×102200107² = 20889723741622898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102200101) 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, 127833 + ... + 128629.

It is an arithmetic number, because the mean of its divisors is an integer number (7146090).

Almost surely, 2^102200107 is an apocalyptic number.

102200107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102200107 is a deficient number, since it is larger than the sum of its proper divisors (12137333).

102200107 is a wasteful number, since it uses less digits than its factorization.

102200107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 102200107 is about 10109.4068569823. The cubic root of 102200107 is about 467.5382175854.

Adding to 102200107 its reverse (701002201), we get a palindrome (803202308).

The spelling of 102200107 in words is "one hundred two million, two hundred thousand, one hundred seven".