1056006110100 has 36 divisors (see below), whose sum is σ = 3055377679424. Its totient is φ = 281601629280.

The previous prime is 1056006110051. The next prime is 1056006110119. The reversal of 1056006110100 is 10116006501.

It is a super-2 number, since 2×1056006110100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1760009884 + ... + 1760010483.

Almost surely, 2^{1056006110100} is an apocalyptic number.

1056006110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056006110100 is an abundant number, since it is smaller than the sum of its proper divisors (1999371569324).

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

1056006110100 is a wasteful number, since it uses less digits than its factorization.

1056006110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520020384 (or 3520020377 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1056006110100 in words is "one trillion, fifty-six billion, six million, one hundred ten thousand, one hundred".