102705407 has 8 divisors (see below), whose sum is σ = 117718656. Its totient is φ = 87777432.

The previous prime is 102705401. The next prime is 102705409. The reversal of 102705407 is 704507201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102705407 - 2⁴ = 102705391 is a prime.

It is a super-3 number, since 3×102705407³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102705401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18713 + ... + 23570.

It is an arithmetic number, because the mean of its divisors is an integer number (14714832).

Almost surely, 2^102705407 is an apocalyptic number.

102705407 is a deficient number, since it is larger than the sum of its proper divisors (15013249).

102705407 is an equidigital number, since it uses as much as digits as its factorization.

102705407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42637.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 102705407 is about 10134.3676171728. The cubic root of 102705407 is about 468.3074887131.

The spelling of 102705407 in words is "one hundred two million, seven hundred five thousand, four hundred seven".