106981560 has 320 divisors, whose sum is σ = 423403200. Its totient is φ = 23721984.

The previous prime is 106981559. The next prime is 106981577. The reversal of 106981560 is 65189601.

106981560 is a `hidden beast` number, since 1 + 0 + 6 + 98 + 1 + 560 = 666.

It is a super-2 number, since 2×106981560² = 22890108360067200, which contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1201996 + ... + 1202084.

It is an arithmetic number, because the mean of its divisors is an integer number (1323135).

Almost surely, 2^106981560 is an apocalyptic number.

106981560 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 106981560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211701600).

106981560 is an abundant number, since it is smaller than the sum of its proper divisors (316421640).

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

106981560 is a wasteful number, since it uses less digits than its factorization.

106981560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

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

The square root of 106981560 is about 10343.1890633402. The cubic root of 106981560 is about 474.7186662758.

The spelling of 106981560 in words is "one hundred six million, nine hundred eighty-one thousand, five hundred sixty".