102114090 has 48 divisors (see below), whose sum is σ = 285922728. Its totient is φ = 25135488.

The previous prime is 102114029. The next prime is 102114091. The reversal of 102114090 is 90411201.

It can be written as a sum of positive squares in 4 ways, for example, as 89132481 + 12981609 = 9441^2 + 3603^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102114091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42469 + ... + 44808.

Almost surely, 2^102114090 is an apocalyptic number.

102114090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102114090 is an abundant number, since it is smaller than the sum of its proper divisors (183808638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102114090 is a wasteful number, since it uses less digits than its factorization.

102114090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87303 (or 87300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102114090 is about 10105.1516564572. The cubic root of 102114090 is about 467.4070124950.

Adding to 102114090 its reverse (90411201), we get a palindrome (192525291).

The spelling of 102114090 in words is "one hundred two million, one hundred fourteen thousand, ninety".