10203632745345 has 24 divisors (see below), whose sum is σ = 19046781125736. Its totient is φ = 5023326889728.

The previous prime is 10203632745179. The next prime is 10203632745359. The reversal of 10203632745345 is 54354723630201.

It is a happy number.

10203632745345 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 632 + 7 + 4 + 5 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137201345649 + 10066431399696 = 370407^2 + 3172764^2 .

It is not a de Polignac number, because 10203632745345 - 2²¹ = 10203630648193 is a prime.

It is a super-2 number, since 2×10203632745345² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10203632745345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8721053044 + ... + 8721054213.

It is an arithmetic number, because the mean of its divisors is an integer number (793615880239).

Almost surely, 2^{10203632745345} is an apocalyptic number.

10203632745345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10203632745345 is a deficient number, since it is larger than the sum of its proper divisors (8843148380391).

10203632745345 is a wasteful number, since it uses less digits than its factorization.

10203632745345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442107281 (or 17442107278 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 10203632745345 in words is "ten trillion, two hundred three billion, six hundred thirty-two million, seven hundred forty-five thousand, three hundred forty-five".