106664540400 has 720 divisors, whose sum is σ = 420478400160. Its totient is φ = 24802713600.

The previous prime is 106664540387. The next prime is 106664540407. The reversal of 106664540400 is 4045466601.

106664540400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106664540400² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (106664540407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336481042 + ... + 336481358.

It is an arithmetic number, because the mean of its divisors is an integer number (583997778).

Almost surely, 2^106664540400 is an apocalyptic number.

106664540400 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 106664540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210239200080).

106664540400 is an abundant number, since it is smaller than the sum of its proper divisors (313813859760).

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

106664540400 is a wasteful number, since it uses less digits than its factorization.

106664540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106664540400 in words is "one hundred six billion, six hundred sixty-four million, five hundred forty thousand, four hundred".