102401305 has 8 divisors (see below), whose sum is σ = 122967432. Its totient is φ = 81863808.

The previous prime is 102401269. The next prime is 102401309. The reversal of 102401305 is 503104201.

It can be written as a sum of positive squares in 4 ways, for example, as 5161984 + 97239321 = 2272^2 + 9861^2 .

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 102401305 - 2¹⁵ = 102368537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102401309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1717 + ... + 14413.

It is an arithmetic number, because the mean of its divisors is an integer number (15370929).

Almost surely, 2^102401305 is an apocalyptic number.

It is an amenable number.

102401305 is a deficient number, since it is larger than the sum of its proper divisors (20566127).

102401305 is a wasteful number, since it uses less digits than its factorization.

102401305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14315.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102401305 is about 10119.3529931513. The cubic root of 102401305 is about 467.8448255239.

Adding to 102401305 its reverse (503104201), we get a palindrome (605505506).

The spelling of 102401305 in words is "one hundred two million, four hundred one thousand, three hundred five".