101305000 has 40 divisors (see below), whose sum is σ = 237369330. Its totient is φ = 40520000.

The previous prime is 101304997. The next prime is 101305003. The reversal of 101305000 is 503101.

It is an interprime number because it is at equal distance from previous prime (101304997) and next prime (101305003).

It can be written as a sum of positive squares in 5 ways, for example, as 5225796 + 96079204 = 2286^2 + 9802^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101305003) 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 9 ways as a sum of consecutive naturals, for example, 5131 + ... + 15130.

Almost surely, 2^101305000 is an apocalyptic number.

101305000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101305000 is an abundant number, since it is smaller than the sum of its proper divisors (136064330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101305000 is an equidigital number, since it uses as much as digits as its factorization.

101305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20287 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 101305000 is about 10065.0384996780. The cubic root of 101305000 is about 466.1692545858.

Adding to 101305000 its reverse (503101), we get a palindrome (101808101).

The spelling of 101305000 in words is "one hundred one million, three hundred five thousand".