106257528 has 128 divisors (see below), whose sum is σ = 322560000. Its totient is φ = 32213376.

The previous prime is 106257521. The next prime is 106257533. The reversal of 106257528 is 825752601.

It is a happy number.

106257528 is a `hidden beast` number, since 1 + 0 + 62 + 575 + 28 = 666.

It is a super-2 number, since 2×106257528² = 22581324513341568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106257492 and 106257501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106257521) 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, 221593 + ... + 222071.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^106257528 is an apocalyptic number.

106257528 is a gapful number since it is divisible by the number (18) 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 106257528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280000).

106257528 is an abundant number, since it is smaller than the sum of its proper divisors (216302472).

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

106257528 is a wasteful number, since it uses less digits than its factorization.

106257528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 106257528 is about 10308.1292192133. The cubic root of 106257528 is about 473.6453042665.

The spelling of 106257528 in words is "one hundred six million, two hundred fifty-seven thousand, five hundred twenty-eight".