10132305 has 32 divisors (see below), whose sum is σ = 17335296. Its totient is φ = 5041344.

The previous prime is 10132279. The next prime is 10132321. The reversal of 10132305 is 50323101.

It is a happy number.

10132305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132305 - 2⁵ = 10132273 is a prime.

It is a super-2 number, since 2×10132305² = 205327209226050, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14494 + ... + 15176.

It is an arithmetic number, because the mean of its divisors is an integer number (541728).

Almost surely, 2^10132305 is an apocalyptic number.

10132305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10132305 is a deficient number, since it is larger than the sum of its proper divisors (7202991).

10132305 is a wasteful number, since it uses less digits than its factorization.

10132305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10132305 is about 3183.1281783805. The cubic root of 10132305 is about 216.3894508566.

Adding to 10132305 its reverse (50323101), we get a palindrome (60455406).

The spelling of 10132305 in words is "ten million, one hundred thirty-two thousand, three hundred five".