106059456 has 140 divisors (see below), whose sum is σ = 322707000. Its totient is φ = 34421760.

The previous prime is 106059451. The next prime is 106059479. The reversal of 106059456 is 654950601.

106059456 is a `hidden beast` number, since 1 + 0 + 60 + 594 + 5 + 6 = 666.

It is a super-2 number, since 2×106059456² = 22497216414031872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106059456.

It is not an unprimeable number, because it can be changed into a prime (106059451) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 212295 + ... + 212793.

It is an arithmetic number, because the mean of its divisors is an integer number (2305050).

Almost surely, 2^106059456 is an apocalyptic number.

106059456 is a gapful number since it is divisible by the number (16) 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 106059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161353500).

106059456 is an abundant number, since it is smaller than the sum of its proper divisors (216647544).

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

106059456 is an equidigital number, since it uses as much as digits as its factorization.

106059456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106059456 is about 10298.5171748170. The cubic root of 106059456 is about 473.3508177544.

It can be divided in two parts, 1060 and 59456, that added together give a square (60516 = 246²).

The spelling of 106059456 in words is "one hundred six million, fifty-nine thousand, four hundred fifty-six".