106033486411008 has 432 divisors, whose sum is σ = 330301811112000. Its totient is φ = 32520415444992.

The previous prime is 106033486410997. The next prime is 106033486411087. The reversal of 106033486411008 is 800114684330601.

106033486411008 is a `hidden beast` number, since 1 + 0 + 60 + 3 + 3 + 486 + 4 + 1 + 100 + 8 = 666.

It is a super-2 number, since 2×106033486411008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12594542223 + ... + 12594550641.

Almost surely, 2^{106033486411008} is an apocalyptic number.

106033486411008 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 106033486411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165150905556000).

106033486411008 is an abundant number, since it is smaller than the sum of its proper divisors (224268324700992).

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

106033486411008 is a wasteful number, since it uses less digits than its factorization.

106033486411008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 106033486411008 in words is "one hundred six trillion, thirty-three billion, four hundred eighty-six million, four hundred eleven thousand, eight".