10042305 has 48 divisors (see below), whose sum is σ = 20147904. Its totient is φ = 4233600.

The previous prime is 10042301. The next prime is 10042309. The reversal of 10042305 is 50324001.

10042305 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10042301) and next prime (10042309).

It is not a de Polignac number, because 10042305 - 2² = 10042301 is a prime.

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

10042305 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10042301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9030 + ... + 10080.

It is an arithmetic number, because the mean of its divisors is an integer number (419748).

Almost surely, 2^10042305 is an apocalyptic number.

10042305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042305 is an abundant number, since it is smaller than the sum of its proper divisors (10105599).

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

10042305 is a wasteful number, since it uses less digits than its factorization.

10042305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1079 counting only the distinct ones).

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

The square root of 10042305 is about 3168.9596084520. The cubic root of 10042305 is about 215.7468527814.

Adding to 10042305 its reverse (50324001), we get a palindrome (60366306).

The spelling of 10042305 in words is "ten million, forty-two thousand, three hundred five".