106056552 has 128 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 29203200.

The previous prime is 106056547. The next prime is 106056553. The reversal of 106056552 is 255650601.

It is a super-2 number, since 2×106056552² = 22495984444257408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106056553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809527 + ... + 809657.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^106056552 is an apocalyptic number.

106056552 is a gapful number since it is divisible by the number (12) 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 106056552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

106056552 is an abundant number, since it is smaller than the sum of its proper divisors (208209048).

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

106056552 is a wasteful number, since it uses less digits than its factorization.

106056552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 106056552 is about 10298.3761826805. The cubic root of 106056552 is about 473.3464974628.

The spelling of 106056552 in words is "one hundred six million, fifty-six thousand, five hundred fifty-two".