106416046080 has 608 divisors, whose sum is σ = 394599367680. Its totient is φ = 27179089920.

The previous prime is 106416046063. The next prime is 106416046081. The reversal of 106416046080 is 80640614601.

106416046080 is a `hidden beast` number, since 1 + 0 + 6 + 41 + 6 + 0 + 4 + 608 + 0 = 666.

It is a super-2 number, since 2×106416046080² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106416046081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097072592 + ... + 1097072688.

Almost surely, 2^106416046080 is an apocalyptic number.

106416046080 is a gapful number since it is divisible by the number (10) 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 106416046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197299683840).

106416046080 is an abundant number, since it is smaller than the sum of its proper divisors (288183321600).

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

106416046080 is an frugal number, since it uses more digits than its factorization.

106416046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 106416046080 in words is "one hundred six billion, four hundred sixteen million, forty-six thousand, eighty".