106021544021640 has 384 divisors, whose sum is σ = 384877844114400. Its totient is φ = 25140857241600.

The previous prime is 106021544021621. The next prime is 106021544021707. The reversal of 106021544021640 is 46120445120601.

106021544021640 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 1 + 5 + 4 + 4 + 0 + 2 + 1 + 640 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 36969731915076 + 69051812106564 = 6080274^2 + 8309742^2 .

It is a super-2 number, since 2×106021544021640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106021544021595 and 106021544021604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14458096 + ... + 20520224.

Almost surely, 2^{106021544021640} is an apocalyptic number.

106021544021640 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 106021544021640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192438922057200).

106021544021640 is an abundant number, since it is smaller than the sum of its proper divisors (278856300092760).

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

106021544021640 is a wasteful number, since it uses less digits than its factorization.

106021544021640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062297 (or 6062290 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 106021544021640 in words is "one hundred six trillion, twenty-one billion, five hundred forty-four million, twenty-one thousand, six hundred forty".