106545560 has 64 divisors (see below), whose sum is σ = 262586880. Its totient is φ = 38586240.

The previous prime is 106545539. The next prime is 106545577. The reversal of 106545560 is 65545601.

It is a super-2 number, since 2×106545560² = 22703912711427200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203459 + ... + 203981.

It is an arithmetic number, because the mean of its divisors is an integer number (4102920).

Almost surely, 2^106545560 is an apocalyptic number.

106545560 is a gapful number since it is divisible by the number (10) 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 106545560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131293440).

106545560 is an abundant number, since it is smaller than the sum of its proper divisors (156041320).

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

106545560 is a wasteful number, since it uses less digits than its factorization.

106545560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 106545560 is about 10322.0908734616. The cubic root of 106545560 is about 474.0728878400.

The spelling of 106545560 in words is "one hundred six million, five hundred forty-five thousand, five hundred sixty".