106947360 has 288 divisors, whose sum is σ = 408648240. Its totient is φ = 25288704.

The previous prime is 106947359. The next prime is 106947383. The reversal of 106947360 is 63749601.

It can be written as a sum of positive squares in 8 ways, for example, as 60652944 + 46294416 = 7788^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106947360² = 22875475621939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542782 + ... + 542978.

Almost surely, 2^106947360 is an apocalyptic number.

106947360 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 106947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204324120).

106947360 is an abundant number, since it is smaller than the sum of its proper divisors (301700880).

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

106947360 is a wasteful number, since it uses less digits than its factorization.

106947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106947360 is about 10341.5356693288. The cubic root of 106947360 is about 474.6680746637.

The spelling of 106947360 in words is "one hundred six million, nine hundred forty-seven thousand, three hundred sixty".