106900560 has 320 divisors, whose sum is σ = 409973760. Its totient is φ = 25754112.

The previous prime is 106900559. The next prime is 106900561. The reversal of 106900560 is 65009601.

106900560 is a `hidden beast` number, since 10 + 6 + 90 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (106900559) and next prime (106900561).

It is a super-2 number, since 2×106900560² = 22855459456627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106900561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2274457 + ... + 2274503.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 2^106900560 is an apocalyptic number.

106900560 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 106900560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

106900560 is an abundant number, since it is smaller than the sum of its proper divisors (303073200).

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

106900560 is an equidigital number, since it uses as much as digits as its factorization.

106900560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106900560 is about 10339.2727016943. The cubic root of 106900560 is about 474.5988265557.

The spelling of 106900560 in words is "one hundred six million, nine hundred thousand, five hundred sixty".