105066610600 has 192 divisors, whose sum is σ = 285667430400. Its totient is φ = 35188366080.

The previous prime is 105066610591. The next prime is 105066610601. The reversal of 105066610600 is 6016660501.

It is a super-2 number, since 2×105066610600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066610601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43360989 + ... + 43363411.

It is an arithmetic number, because the mean of its divisors is an integer number (1487851200).

Almost surely, 2^105066610600 is an apocalyptic number.

105066610600 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 105066610600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142833715200).

105066610600 is an abundant number, since it is smaller than the sum of its proper divisors (180600819800).

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

105066610600 is a wasteful number, since it uses less digits than its factorization.

105066610600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 105066610600 in words is "one hundred five billion, sixty-six million, six hundred ten thousand, six hundred".