106545264 has 160 divisors (see below), whose sum is σ = 332550144. Its totient is φ = 28753920.

The previous prime is 106545247. The next prime is 106545277. The reversal of 106545264 is 462545601.

It is a super-2 number, since 2×106545264² = 22703786561659392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551952 + ... + 552144.

Almost surely, 2^106545264 is an apocalyptic number.

106545264 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 106545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166275072).

106545264 is an abundant number, since it is smaller than the sum of its proper divisors (226004880).

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

106545264 is a wasteful number, since it uses less digits than its factorization.

106545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 106545264 is about 10322.0765352714. The cubic root of 106545264 is about 474.0724488238.

The spelling of 106545264 in words is "one hundred six million, five hundred forty-five thousand, two hundred sixty-four".