102007114 has 12 divisors (see below), whose sum is σ = 168185682. Its totient is φ = 46366760.

The previous prime is 102007069. The next prime is 102007117. The reversal of 102007114 is 411700201.

It can be written as a sum of positive squares in only one way, i.e., 82355625 + 19651489 = 9075^2 + 4433^2 .

It is not an unprimeable number, because it can be changed into a prime (102007117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210517 + ... + 211000.

Almost surely, 2^102007114 is an apocalyptic number.

102007114 is a deficient number, since it is larger than the sum of its proper divisors (66178568).

102007114 is a wasteful number, since it uses less digits than its factorization.

102007114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421541 (or 421530 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 102007114 is about 10099.8571277024. The cubic root of 102007114 is about 467.2437349838.

Adding to 102007114 its reverse (411700201), we get a palindrome (513707315).

The spelling of 102007114 in words is "one hundred two million, seven thousand, one hundred fourteen".