106541600640 has 256 divisors, whose sum is σ = 355373075520. Its totient is φ = 27120697344.

The previous prime is 106541600579. The next prime is 106541600651. The reversal of 106541600640 is 46006145601.

It is a happy number.

It is a super-2 number, since 2×106541600640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750972 + ... + 3779268.

Almost surely, 2^106541600640 is an apocalyptic number.

106541600640 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 106541600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177686537760).

106541600640 is an abundant number, since it is smaller than the sum of its proper divisors (248831474880).

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

106541600640 is a wasteful number, since it uses less digits than its factorization.

106541600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28409 (or 28397 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 106541600640 in words is "one hundred six billion, five hundred forty-one million, six hundred thousand, six hundred forty".