106056544 has 48 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 48031360.

The previous prime is 106056539. The next prime is 106056547. The reversal of 106056544 is 445650601.

It is a super-2 number, since 2×106056544² = 22495981050447872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056547) 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 7 ways as a sum of consecutive naturals, for example, 176757 + ... + 177355.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^106056544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106056544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

106056544 is an abundant number, since it is smaller than the sum of its proper divisors (122557856).

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

106056544 is a wasteful number, since it uses less digits than its factorization.

106056544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 106056544 is about 10298.3757942697. The cubic root of 106056544 is about 473.3464855611.

The spelling of 106056544 in words is "one hundred six million, fifty-six thousand, five hundred forty-four".