106935550722 has 450 divisors, whose sum is σ = 321950819385. Its totient is φ = 25638893280.

The previous prime is 106935550717. The next prime is 106935550727. The reversal of 106935550722 is 227055539601.

106935550722 is a `hidden beast` number, since 1 + 0 + 6 + 93 + 5 + 550 + 7 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106935550717) and next prime (106935550727).

It can be written as a sum of positive squares in 2 ways, for example, as 91433059641 + 15502491081 = 302379^2 + 124509^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=231231.

It is a super-2 number, since 2×106935550722² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106935550727) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 8225811588 + ... + 8225811600.

Almost surely, 2^106935550722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106935550722

106935550722 is an abundant number, since it is smaller than the sum of its proper divisors (215015268663).

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

106935550722 is an frugal number, since it uses more digits than its factorization.

106935550722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 106935550722 in words is "one hundred six billion, nine hundred thirty-five million, five hundred fifty thousand, seven hundred twenty-two".