106894080 has 180 divisors, whose sum is σ = 382857552. Its totient is φ = 28477440.

The previous prime is 106894069. The next prime is 106894111. The reversal of 106894080 is 80498601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106894080² = 22852688678092800, which 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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103165 + ... + 104195.

Almost surely, 2^106894080 is an apocalyptic number.

106894080 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 106894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191428776).

106894080 is an abundant number, since it is smaller than the sum of its proper divisors (275963472).

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

106894080 is an equidigital number, since it uses as much as digits as its factorization.

106894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106894080 is about 10338.9593286752. The cubic root of 106894080 is about 474.5892367633.

The spelling of 106894080 in words is "one hundred six million, eight hundred ninety-four thousand, eighty".