106180420608 has 264 divisors, whose sum is σ = 313016890368. Its totient is φ = 34659975168.

The previous prime is 106180420597. The next prime is 106180420627. The reversal of 106180420608 is 806024081601.

106180420608 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 0 + 42 + 0 + 608 = 666.

It is a super-2 number, since 2×106180420608² (a number of 23 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97145310 + ... + 97146402.

Almost surely, 2^106180420608 is an apocalyptic number.

106180420608 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 106180420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156508445184).

106180420608 is an abundant number, since it is smaller than the sum of its proper divisors (206836469760).

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

106180420608 is a wasteful number, since it uses less digits than its factorization.

106180420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 106180420608 in words is "one hundred six billion, one hundred eighty million, four hundred twenty thousand, six hundred eight".