1005500105610 has 512 divisors, whose sum is σ = 3502885478400. Its totient is φ = 177770557440.

The previous prime is 1005500105609. The next prime is 1005500105611. The reversal of 1005500105610 is 165010055001.

It is an interprime number because it is at equal distance from previous prime (1005500105609) and next prime (1005500105611).

It is a super-2 number, since 2×1005500105610² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005500105611) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21087276 + ... + 21134904.

It is an arithmetic number, because the mean of its divisors is an integer number (6841573200).

Almost surely, 2^{1005500105610} is an apocalyptic number.

1005500105610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005500105610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751442739200).

1005500105610 is an abundant number, since it is smaller than the sum of its proper divisors (2497385372790).

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

1005500105610 is a wasteful number, since it uses less digits than its factorization.

1005500105610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47726.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1005500105610 in words is "one trillion, five billion, five hundred million, one hundred five thousand, six hundred ten".