106026343313220 has 144 divisors (see below), whose sum is σ = 351480706170048. Its totient is φ = 25657209626880.

The previous prime is 106026343313203. The next prime is 106026343313257. The reversal of 106026343313220 is 22313343620601.

106026343313220 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 634 + 3 + 3 + 13 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×106026343313220² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46965954 + ... + 49171673.

It is an arithmetic number, because the mean of its divisors is an integer number (2440838237292).

Almost surely, 2^{106026343313220} is an apocalyptic number.

106026343313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106026343313220 is an abundant number, since it is smaller than the sum of its proper divisors (245454362856828).

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

106026343313220 is a wasteful number, since it uses less digits than its factorization.

106026343313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96138210 (or 96138205 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 106026343313220 its reverse (22313343620601), we get a palindrome (128339686933821).

The spelling of 106026343313220 in words is "one hundred six trillion, twenty-six billion, three hundred forty-three million, three hundred thirteen thousand, two hundred twenty".