106447360 has 80 divisors (see below), whose sum is σ = 261429696. Its totient is φ = 41545728.

The previous prime is 106447351. The next prime is 106447399. The reversal of 106447360 is 63744601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106447360² = 22662080901939200, 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109597 + ... + 110563.

Almost surely, 2^106447360 is an apocalyptic number.

106447360 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 106447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130714848).

106447360 is an abundant number, since it is smaller than the sum of its proper divisors (154982336).

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

106447360 is an frugal number, since it uses more digits than its factorization.

106447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 106447360 is about 10317.3329887137. The cubic root of 106447360 is about 473.9271965902.

The spelling of 106447360 in words is "one hundred six million, four hundred forty-seven thousand, three hundred sixty".