10302153345 has 64 divisors (see below), whose sum is σ = 20045076480. Its totient is φ = 4978699200.

The previous prime is 10302153319. The next prime is 10302153373. The reversal of 10302153345 is 54335120301.

10302153345 is a `hidden beast` number, since 1 + 0 + 302 + 15 + 3 + 345 = 666.

It is not a de Polignac number, because 10302153345 - 2²⁵ = 10268598913 is a prime.

It is a super-2 number, since 2×10302153345² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 450682 + ... + 472988.

It is an arithmetic number, because the mean of its divisors is an integer number (313204320).

Almost surely, 2^10302153345 is an apocalyptic number.

10302153345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10302153345 is a deficient number, since it is larger than the sum of its proper divisors (9742923135).

10302153345 is a wasteful number, since it uses less digits than its factorization.

10302153345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22643 (or 22637 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10302153345 its reverse (54335120301), we get a palindrome (64637273646).

The spelling of 10302153345 in words is "ten billion, three hundred two million, one hundred fifty-three thousand, three hundred forty-five".