102414100 has 36 divisors (see below), whose sum is σ = 222679324. Its totient is φ = 40884480.

The previous prime is 102414079. The next prime is 102414119. The reversal of 102414100 is 1414201.

It can be written as a sum of positive squares in 6 ways, for example, as 767376 + 101646724 = 876^2 + 10082^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 93154 + ... + 94246.

Almost surely, 2^102414100 is an apocalyptic number.

102414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414100 is an abundant number, since it is smaller than the sum of its proper divisors (120265224).

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

102414100 is a wasteful number, since it uses less digits than its factorization.

102414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102414100 is about 10119.9851778548. The cubic root of 102414100 is about 467.8643103838.

Adding to 102414100 its reverse (1414201), we get a palindrome (103828301).

It can be divided in two parts, 10241 and 4100, that added together give a palindrome (14341).

The spelling of 102414100 in words is "one hundred two million, four hundred fourteen thousand, one hundred".