106666345500 has 192 divisors, whose sum is σ = 364915998720. Its totient is φ = 23869344000.

The previous prime is 106666345493. The next prime is 106666345507. The reversal of 106666345500 is 5543666601.

It is an interprime number because it is at equal distance from previous prime (106666345493) and next prime (106666345507).

It is a super-2 number, since 2×106666345500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666345507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34140 + ... + 463139.

It is an arithmetic number, because the mean of its divisors is an integer number (1900604160).

Almost surely, 2^106666345500 is an apocalyptic number.

106666345500 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 106666345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182457999360).

106666345500 is an abundant number, since it is smaller than the sum of its proper divisors (258249653220).

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

106666345500 is a wasteful number, since it uses less digits than its factorization.

106666345500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497325 (or 497313 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 106666345500 in words is "one hundred six billion, six hundred sixty-six million, three hundred forty-five thousand, five hundred".