106190080 has 72 divisors (see below), whose sum is σ = 265491072. Its totient is φ = 40617984.

The previous prime is 106190059. The next prime is 106190113. The reversal of 106190080 is 80091601.

It is a super-2 number, since 2×106190080² = 22552666180812800, which 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 7 ways as a sum of consecutive naturals, for example, 27637 + ... + 31243.

It is an arithmetic number, because the mean of its divisors is an integer number (3687376).

Almost surely, 2^106190080 is an apocalyptic number.

106190080 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 106190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132745536).

106190080 is an abundant number, since it is smaller than the sum of its proper divisors (159300992).

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

106190080 is an equidigital number, since it uses as much as digits as its factorization.

106190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 106190080 is about 10304.8571072092. The cubic root of 106190080 is about 473.5450660656.

The spelling of 106190080 in words is "one hundred six million, one hundred ninety thousand, eighty".