106068480 has 160 divisors (see below), whose sum is σ = 387725184. Its totient is φ = 24231936.

The previous prime is 106068427. The next prime is 106068541. The reversal of 106068480 is 84860601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106068480² = 22501044899020800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52774 + ... + 54746.

Almost surely, 2^106068480 is an apocalyptic number.

106068480 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 106068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193862592).

106068480 is an abundant number, since it is smaller than the sum of its proper divisors (281656704).

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

106068480 is an equidigital number, since it uses as much as digits as its factorization.

106068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 106068480 is about 10298.9552868240. The cubic root of 106068480 is about 473.3642422894.

The spelling of 106068480 in words is "one hundred six million, sixty-eight thousand, four hundred eighty".