102414399 has 16 divisors (see below), whose sum is σ = 141708000. Its totient is φ = 65713536.

The previous prime is 102414373. The next prime is 102414407. The reversal of 102414399 is 993414201.

It is a Cunningham number, because it is equal to 10120²-1.

It is not a de Polignac number, because 102414399 - 2⁷ = 102414271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28677 + ... + 32049.

It is an arithmetic number, because the mean of its divisors is an integer number (8856750).

Almost surely, 2^102414399 is an apocalyptic number.

102414399 is a deficient number, since it is larger than the sum of its proper divisors (39293601).

102414399 is a wasteful number, since it uses less digits than its factorization.

102414399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 102414399 is about 10119.9999505929. Note that the first 4 decimals coincide. The cubic root of 102414399 is about 467.8647656964.

The spelling of 102414399 in words is "one hundred two million, four hundred fourteen thousand, three hundred ninety-nine".