106426474935768 has 384 divisors, whose sum is σ = 327489800601600. Its totient is φ = 30952738510848.

The previous prime is 106426474935763. The next prime is 106426474935923. The reversal of 106426474935768 is 867539474624601.

106426474935768 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 6 + 4 + 7 + 49 + 3 + 576 + 8 = 666.

106426474935768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106426474935768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106426474935696 and 106426474935705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106426474935761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29703172905 + ... + 29703176487.

It is an arithmetic number, because the mean of its divisors is an integer number (852838022400).

It is a 1-persistent number, because it is pandigital, but 2⋅106426474935768 = 212852949871536 is not.

Almost surely, 2^{106426474935768} is an apocalyptic number.

106426474935768 is a gapful number since it is divisible by the number (18) 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 106426474935768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163744900300800).

106426474935768 is an abundant number, since it is smaller than the sum of its proper divisors (221063325665832).

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

106426474935768 is a wasteful number, since it uses less digits than its factorization.

106426474935768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 106426474935768 in words is "one hundred six trillion, four hundred twenty-six billion, four hundred seventy-four million, nine hundred thirty-five thousand, seven hundred sixty-eight".