102414410 has 48 divisors (see below), whose sum is σ = 219055104. Its totient is φ = 34358688.

The previous prime is 102414407. The next prime is 102414413. The reversal of 102414410 is 14414201.

102414410 = T₂₀₂₀ + T₂₀₂₁ + ... + T₂₀₆₈.

It is an interprime number because it is at equal distance from previous prime (102414407) and next prime (102414413).

It is a super-2 number, since 2×102414410² = 20977422751296200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102414413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20807 + ... + 25253.

It is an arithmetic number, because the mean of its divisors is an integer number (4563648).

Almost surely, 2^102414410 is an apocalyptic number.

102414410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102414410 is an abundant number, since it is smaller than the sum of its proper divisors (116640694).

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

102414410 is a wasteful number, since it uses less digits than its factorization.

102414410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 102414410 is about 10120.0004940711. Note that the first 3 decimals coincide. The cubic root of 102414410 is about 467.8647824470.

Adding to 102414410 its reverse (14414201), we get a palindrome (116828611).

The spelling of 102414410 in words is "one hundred two million, four hundred fourteen thousand, four hundred ten".