106189440 has 128 divisors (see below), whose sum is σ = 386881920. Its totient is φ = 24268800.

The previous prime is 106189417. The next prime is 106189483. The reversal of 106189440 is 44981601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106189440² = 22552394335027200, 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, 9490 + ... + 17390.

It is an arithmetic number, because the mean of its divisors is an integer number (3022515).

Almost surely, 2^106189440 is an apocalyptic number.

106189440 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 106189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440960).

106189440 is an abundant number, since it is smaller than the sum of its proper divisors (280692480).

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

106189440 is an equidigital number, since it uses as much as digits as its factorization.

106189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106189440 is about 10304.8260538449. The cubic root of 106189440 is about 473.5441147230.

The spelling of 106189440 in words is "one hundred six million, one hundred eighty-nine thousand, four hundred forty".