106414560 has 576 divisors, whose sum is σ = 475517952. Its totient is φ = 21897216.

The previous prime is 106414523. The next prime is 106414579. The reversal of 106414560 is 65414601.

106414560 is a `hidden beast` number, since 10 + 641 + 4 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×106414560² = 22648117159987200, 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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4626709 + ... + 4626731.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^106414560 is an apocalyptic number.

106414560 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 106414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

106414560 is an abundant number, since it is smaller than the sum of its proper divisors (369103392).

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

106414560 is a wasteful number, since it uses less digits than its factorization.

106414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106414560 is about 10315.7433081674. The cubic root of 106414560 is about 473.8785139708.

The spelling of 106414560 in words is "one hundred six million, four hundred fourteen thousand, five hundred sixty".