801297103104 has 243 divisors, whose sum is σ = 2456472780307. Its totient is φ = 251158167552.

The previous prime is 801297103067. The next prime is 801297103157. The reversal of 801297103104 is 401301792108.

It is a happy number.

The square root of 801297103104 is 895152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4205263104 + 797091840000 = 64848^2 + 892800^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 730443484 + ... + 730444580.

Almost surely, 2^801297103104 is an apocalyptic number.

801297103104 is the 895152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801297103104

801297103104 is an abundant number, since it is smaller than the sum of its proper divisors (1655175677203).

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

801297103104 is an equidigital number, since it uses as much as digits as its factorization.

801297103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 801297103104 by its sum of digits (36), we get a square (28846695711744 = 5370912²).

801297103104 divided by its sum of digits (36) gives a square (22258252864 = 149192²).

It can be divided in two parts, 801297 and 103104, that added together give a square (904401 = 951²).

The spelling of 801297103104 in words is "eight hundred one billion, two hundred ninety-seven million, one hundred three thousand, one hundred four".