10170019072 has 36 divisors (see below), whose sum is σ = 21494456676. Its totient is φ = 4785889280.

The previous prime is 10170019037. The next prime is 10170019081. The reversal of 10170019072 is 27091007101.

It can be written as a sum of positive squares in 2 ways, for example, as 9197577216 + 972441856 = 95904^2 + 31184^2 .

It is a super-3 number, since 3×10170019072³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10170019072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1164079 + ... + 1172782.

It is an arithmetic number, because the mean of its divisors is an integer number (597068241).

Almost surely, 2^10170019072 is an apocalyptic number.

It is an amenable number.

10170019072 is an abundant number, since it is smaller than the sum of its proper divisors (11324437604).

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

10170019072 is an equidigital number, since it uses as much as digits as its factorization.

10170019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336894 (or 2336880 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The spelling of 10170019072 in words is "ten billion, one hundred seventy million, nineteen thousand, seventy-two".