106524264 has 128 divisors (see below), whose sum is σ = 337996800. Its totient is φ = 27171840.

The previous prime is 106524263. The next prime is 106524347. The reversal of 106524264 is 462425601.

Together with 231472535 it forms a betrothed pair.

It is a super-2 number, since 2×106524264² = 22694837641483392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106524263) 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, 108544 + ... + 109520.

It is an arithmetic number, because the mean of its divisors is an integer number (2640600).

Almost surely, 2^106524264 is an apocalyptic number.

106524264 is a gapful number since it is divisible by the number (14) 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 106524264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168998400).

106524264 is an abundant number, since it is smaller than the sum of its proper divisors (231472536).

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

106524264 is a wasteful number, since it uses less digits than its factorization.

106524264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 106524264 is about 10321.0592479648. The cubic root of 106524264 is about 474.0413003234.

Adding to 106524264 its reverse (462425601), we get a palindrome (568949865).

The spelling of 106524264 in words is "one hundred six million, five hundred twenty-four thousand, two hundred sixty-four".