106406576640 has 800 divisors, whose sum is σ = 469147472640. Its totient is φ = 22446637056.

The previous prime is 106406576599. The next prime is 106406576663. The reversal of 106406576640 is 46675604601.

106406576640 is a `hidden beast` number, since 10 + 6 + 4 + 0 + 6 + 576 + 64 + 0 = 666.

It is a super-2 number, since 2×106406576640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18866941 + ... + 18872579.

Almost surely, 2^106406576640 is an apocalyptic number.

106406576640 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 106406576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234573736320).

106406576640 is an abundant number, since it is smaller than the sum of its proper divisors (362740896000).

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

106406576640 is an equidigital number, since it uses as much as digits as its factorization.

106406576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 106406576640 in words is "one hundred six billion, four hundred six million, five hundred seventy-six thousand, six hundred forty".