106198560 has 384 divisors, whose sum is σ = 419973120. Its totient is φ = 24883200.

The previous prime is 106198559. The next prime is 106198579. The reversal of 106198560 is 65891601.

106198560 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 98 + 560 = 666.

It is a super-2 number, since 2×106198560² = 22556268292147200, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740930 + ... + 1740990.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^106198560 is an apocalyptic number.

106198560 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 106198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

106198560 is an abundant number, since it is smaller than the sum of its proper divisors (313774560).

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

106198560 is a wasteful number, since it uses less digits than its factorization.

106198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106198560 is about 10305.2685554526. The cubic root of 106198560 is about 473.5576709947.

The spelling of 106198560 in words is "one hundred six million, one hundred ninety-eight thousand, five hundred sixty".