102414315 has 16 divisors (see below), whose sum is σ = 164102400. Its totient is φ = 54541152.

The previous prime is 102414293. The next prime is 102414337. The reversal of 102414315 is 513414201.

It is an interprime number because it is at equal distance from previous prime (102414293) and next prime (102414337).

It is not a de Polignac number, because 102414315 - 2⁶ = 102414251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102414291 and 102414300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6466 + ... + 15704.

It is an arithmetic number, because the mean of its divisors is an integer number (10256400).

Almost surely, 2^102414315 is an apocalyptic number.

102414315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102414315 is a deficient number, since it is larger than the sum of its proper divisors (61688085).

102414315 is an equidigital number, since it uses as much as digits as its factorization.

102414315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102414315 is about 10119.9958003944. The cubic root of 102414315 is about 467.8646377826.

Adding to 102414315 its reverse (513414201), we get a palindrome (615828516).

The spelling of 102414315 in words is "one hundred two million, four hundred fourteen thousand, three hundred fifteen".