106264128 has 56 divisors (see below), whose sum is σ = 288036000. Its totient is φ = 34554880.

The previous prime is 106264079. The next prime is 106264157. The reversal of 106264128 is 821462601.

It is a super-2 number, since 2×106264128² = 22584129799200768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106264095 and 106264104.

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, 1123 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500).

Almost surely, 2^106264128 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 106264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018000).

106264128 is an abundant number, since it is smaller than the sum of its proper divisors (181771872).

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

106264128 is a wasteful number, since it uses less digits than its factorization.

106264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555 (or 13545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106264128 is about 10308.4493499265. The cubic root of 106264128 is about 473.6551106126.

The spelling of 106264128 in words is "one hundred six million, two hundred sixty-four thousand, one hundred twenty-eight".