102400305 has 32 divisors (see below), whose sum is σ = 193708800. Its totient is φ = 45196032.

The previous prime is 102400283. The next prime is 102400307. The reversal of 102400305 is 503004201.

It is a de Polignac number, because none of the positive numbers 2^k-102400305 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102400307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13770 + ... + 19859.

It is an arithmetic number, because the mean of its divisors is an integer number (6053400).

Almost surely, 2^102400305 is an apocalyptic number.

102400305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102400305 is a deficient number, since it is larger than the sum of its proper divisors (91308495).

102400305 is a wasteful number, since it uses less digits than its factorization.

102400305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33673.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102400305 is about 10119.3035827571. The cubic root of 102400305 is about 467.8433026060.

Adding to 102400305 its reverse (503004201), we get a palindrome (605404506).

The spelling of 102400305 in words is "one hundred two million, four hundred thousand, three hundred five".