1065222566100 has 432 divisors, whose sum is σ = 4171173027840. Its totient is φ = 220897670400.

The previous prime is 1065222566003. The next prime is 1065222566141. The reversal of 1065222566100 is 16652225601.

1065222566100 is a `hidden beast` number, since 1 + 0 + 6 + 522 + 25 + 6 + 6 + 100 = 666.

It is a super-2 number, since 2×1065222566100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34842621 + ... + 34873179.

It is an arithmetic number, because the mean of its divisors is an integer number (9655493120).

Almost surely, 2^{1065222566100} is an apocalyptic number.

1065222566100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065222566100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085586513920).

1065222566100 is an abundant number, since it is smaller than the sum of its proper divisors (3105950461740).

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

1065222566100 is a wasteful number, since it uses less digits than its factorization.

1065222566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31100 (or 31090 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1065222566100 in words is "one trillion, sixty-five billion, two hundred twenty-two million, five hundred sixty-six thousand, one hundred".