106528698 has 72 divisors (see below), whose sum is σ = 253608732. Its totient is φ = 32182272.

The previous prime is 106528657. The next prime is 106528699. The reversal of 106528698 is 896825601.

It can be written as a sum of positive squares in 6 ways, for example, as 85433049 + 21095649 = 9243^2 + 4593^2 .

It is a super-2 number, since 2×106528698² = 22696726995150408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106528699) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1098186 + ... + 1098282.

Almost surely, 2^106528698 is an apocalyptic number.

106528698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106528698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804366).

106528698 is an abundant number, since it is smaller than the sum of its proper divisors (147080034).

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

106528698 is a wasteful number, since it uses less digits than its factorization.

106528698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106528698 is about 10321.2740492635. The cubic root of 106528698 is about 474.0478774477.

The spelling of 106528698 in words is "one hundred six million, five hundred twenty-eight thousand, six hundred ninety-eight".