1005704111104 has 495 divisors, whose sum is σ = 2643915220065. Its totient is φ = 381242695680.

The previous prime is 1005704111051. The next prime is 1005704111183. The reversal of 1005704111104 is 4011114075001.

The square root of 1005704111104 is 1002848.

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

It can be written as a sum of positive squares in only one way, i.e., 899917849600 + 105786261504 = 948640^2 + 325248^2 .

It is a super-2 number, since 2×1005704111104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27181192174 + ... + 27181192210.

Almost surely, 2^{1005704111104} is an apocalyptic number.

1005704111104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005704111104 is the 1002848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005704111104

1005704111104 is an abundant number, since it is smaller than the sum of its proper divisors (1638211108961).

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

1005704111104 is an frugal number, since it uses more digits than its factorization.

1005704111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

Multiplying 1005704111104 by its sum of digits (25), we get a square (25142602777600 = 5014240²).

Adding to 1005704111104 its reverse (4011114075001), we get a palindrome (5016818186105).

The spelling of 1005704111104 in words is "one trillion, five billion, seven hundred four million, one hundred eleven thousand, one hundred four".