10145354340 has 96 divisors (see below), whose sum is σ = 31574261376. Its totient is φ = 2413066240.

The previous prime is 10145354291. The next prime is 10145354383. The reversal of 10145354340 is 4345354101.

10145354340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10145354298 and 10145354307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110037 + ... + 179996.

It is an arithmetic number, because the mean of its divisors is an integer number (328898556).

Almost surely, 2^10145354340 is an apocalyptic number.

10145354340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145354340 is an abundant number, since it is smaller than the sum of its proper divisors (21428907036).

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

10145354340 is a wasteful number, since it uses less digits than its factorization.

10145354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290109 (or 290107 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10145354340 in words is "ten billion, one hundred forty-five million, three hundred fifty-four thousand, three hundred forty".