106930560 has 256 divisors, whose sum is σ = 382475520. Its totient is φ = 25190400.

The previous prime is 106930553. The next prime is 106930589. The reversal of 106930560 is 65039601.

It is a happy number.

It is a super-2 number, since 2×106930560² = 22868289323827200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1288279 + ... + 1288361.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^106930560 is an apocalyptic number.

106930560 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 106930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

106930560 is an abundant number, since it is smaller than the sum of its proper divisors (275544960).

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

106930560 is a wasteful number, since it uses less digits than its factorization.

106930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106930560 is about 10340.7233789518. The cubic root of 106930560 is about 474.6432186933.

The spelling of 106930560 in words is "one hundred six million, nine hundred thirty thousand, five hundred sixty".