106527512 has 128 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 39674880.

The previous prime is 106527511. The next prime is 106527523. The reversal of 106527512 is 215725601.

106527512 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×106527512² = 22696221625820288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106527511) 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, 1283423 + ... + 1283505.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2^106527512 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 106527512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

106527512 is an abundant number, since it is smaller than the sum of its proper divisors (154262248).

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

106527512 is a wasteful number, since it uses less digits than its factorization.

106527512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 106527512 is about 10321.2165949562. The cubic root of 106527512 is about 474.0461182257.

The spelling of 106527512 in words is "one hundred six million, five hundred twenty-seven thousand, five hundred twelve".