10345654080 has 168 divisors, whose sum is σ = 35825049000. Its totient is φ = 2740211712.

The previous prime is 10345654057. The next prime is 10345654177. The reversal of 10345654080 is 8045654301.

It is a happy number.

10345654080 is a `hidden beast` number, since 1 + 0 + 34 + 5 + 6 + 540 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 291180096 + 10054473984 = 17064^2 + 100272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 417066 + ... + 441174.

Almost surely, 2^10345654080 is an apocalyptic number.

10345654080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912524500).

10345654080 is an abundant number, since it is smaller than the sum of its proper divisors (25479394920).

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

10345654080 is a wasteful number, since it uses less digits than its factorization.

10345654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24281 (or 24268 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10345654080 in words is "ten billion, three hundred forty-five million, six hundred fifty-four thousand, eighty".