1006100605600 has 72 divisors (see below), whose sum is σ = 2456560699740. Its totient is φ = 402371819520.

The previous prime is 1006100605597. The next prime is 1006100605603. The reversal of 1006100605600 is 65060016001.

It is an interprime number because it is at equal distance from previous prime (1006100605597) and next prime (1006100605603).

It can be written as a sum of positive squares in 6 ways, for example, as 110753177616 + 895347427984 = 332796^2 + 946228^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1006100605603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4738516 + ... + 4946284.

Almost surely, 2^{1006100605600} is an apocalyptic number.

1006100605600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006100605600 is an abundant number, since it is smaller than the sum of its proper divisors (1450460094140).

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

1006100605600 is a wasteful number, since it uses less digits than its factorization.

1006100605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213842 (or 213829 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 1006100605600 in words is "one trillion, six billion, one hundred million, six hundred five thousand, six hundred".