106006277375240 has 256 divisors, whose sum is σ = 262534965488640. Its totient is φ = 38203304832000.

The previous prime is 106006277375239. The next prime is 106006277375287. The reversal of 106006277375240 is 42573772600601.

It is a super-2 number, since 2×106006277375240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25173656735 + ... + 25173660945.

It is an arithmetic number, because the mean of its divisors is an integer number (1025527208940).

Almost surely, 2^{106006277375240} is an apocalyptic number.

106006277375240 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 106006277375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131267482744320).

106006277375240 is an abundant number, since it is smaller than the sum of its proper divisors (156528688113400).

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

106006277375240 is a wasteful number, since it uses less digits than its factorization.

106006277375240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 50.

The spelling of 106006277375240 in words is "one hundred six trillion, six billion, two hundred seventy-seven million, three hundred seventy-five thousand, two hundred forty".