106390080 has 336 divisors, whose sum is σ = 404402544. Its totient is φ = 25559040.

The previous prime is 106390073. The next prime is 106390091. The reversal of 106390080 is 80093601.

It can be written as a sum of positive squares in 8 ways, for example, as 876096 + 105513984 = 936^2 + 10272^2 .

It is a super-2 number, since 2×106390080² = 22637698244812800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2007334 + ... + 2007386.

It is an arithmetic number, because the mean of its divisors is an integer number (1203579).

Almost surely, 2^106390080 is an apocalyptic number.

106390080 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 106390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202201272).

106390080 is an abundant number, since it is smaller than the sum of its proper divisors (298012464).

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

106390080 is a wasteful number, since it uses less digits than its factorization.

106390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106390080 is about 10314.5567039985. The cubic root of 106390080 is about 473.8421735938.

The spelling of 106390080 in words is "one hundred six million, three hundred ninety thousand, eighty".