10035772321 has 8 divisors (see below), whose sum is σ = 10809921024. Its totient is φ = 9289774560.

The previous prime is 10035772301. The next prime is 10035772361. The reversal of 10035772321 is 12327753001.

10035772321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10035772321 - 2⁵ = 10035772289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035772301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7036996 + ... + 7038421.

It is an arithmetic number, because the mean of its divisors is an integer number (1351240128).

Almost surely, 2^10035772321 is an apocalyptic number.

It is an amenable number.

10035772321 is a deficient number, since it is larger than the sum of its proper divisors (774148703).

10035772321 is a wasteful number, since it uses less digits than its factorization.

10035772321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075471.

The product of its (nonzero) digits is 8820, while the sum is 31.

The spelling of 10035772321 in words is "ten billion, thirty-five million, seven hundred seventy-two thousand, three hundred twenty-one".