10152345 has 32 divisors (see below), whose sum is σ = 19169280. Its totient is φ = 4489920.

The previous prime is 10152313. The next prime is 10152347. The reversal of 10152345 is 54325101.

It is not a de Polignac number, because 10152345 - 2⁵ = 10152313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10152347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (599040).

Almost surely, 2^10152345 is an apocalyptic number.

10152345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10152345 is a deficient number, since it is larger than the sum of its proper divisors (9016935).

10152345 is a wasteful number, since it uses less digits than its factorization.

10152345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10152345 is about 3186.2744702866. The cubic root of 10152345 is about 216.5320175879.

Adding to 10152345 its reverse (54325101), we get a palindrome (64477446).

The spelling of 10152345 in words is "ten million, one hundred fifty-two thousand, three hundred forty-five".