106459621107840 has 4096 divisors, whose sum is σ = 522239477760000. Its totient is φ = 19784891105280.

The previous prime is 106459621107743. The next prime is 106459621107857. The reversal of 106459621107840 is 48701126954601.

106459621107840 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 9 + 621 + 1 + 0 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×106459621107840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 74499384246 + ... + 74499385674.

It is an arithmetic number, because the mean of its divisors is an integer number (127499872500).

Almost surely, 2^{106459621107840} is an apocalyptic number.

106459621107840 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 106459621107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261119738880000).

106459621107840 is an abundant number, since it is smaller than the sum of its proper divisors (415779856652160).

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

106459621107840 is a wasteful number, since it uses less digits than its factorization.

106459621107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106459621107840 in words is "one hundred six trillion, four hundred fifty-nine billion, six hundred twenty-one million, one hundred seven thousand, eight hundred forty".