106975560 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 26173440.

The previous prime is 106975537. The next prime is 106975573. The reversal of 106975560 is 65579601.

It is a super-2 number, since 2×106975560² = 22887540874627200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83001 + ... + 84279.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^106975560 is an apocalyptic number.

106975560 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 106975560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

106975560 is an abundant number, since it is smaller than the sum of its proper divisors (241389240).

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

106975560 is a wasteful number, since it uses less digits than its factorization.

106975560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 106975560 is about 10342.8990133328. The cubic root of 106975560 is about 474.7097913343.

The spelling of 106975560 in words is "one hundred six million, nine hundred seventy-five thousand, five hundred sixty".