106056080 has 40 divisors (see below), whose sum is σ = 265550712. Its totient is φ = 39158784.

The previous prime is 106056077. The next prime is 106056091. The reversal of 106056080 is 80650601.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 105103504 = 976^2 + 10252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106056080² = 22495784209932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49949 + ... + 52028.

Almost surely, 2^106056080 is an apocalyptic number.

106056080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106056080 is an abundant number, since it is smaller than the sum of its proper divisors (159494632).

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

106056080 is a wasteful number, since it uses less digits than its factorization.

106056080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102003 (or 101997 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106056080 is about 10298.3532664208. The cubic root of 106056080 is about 473.3457952592.

The spelling of 106056080 in words is "one hundred six million, fifty-six thousand, eighty".