106530960 has 40 divisors (see below), whose sum is σ = 330246720. Its totient is φ = 28408192.

The previous prime is 106530923. The next prime is 106530961. The reversal of 106530960 is 69035601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106530960² = 22697690877043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106530961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221700 + ... + 222179.

It is an arithmetic number, because the mean of its divisors is an integer number (8256168).

Almost surely, 2^106530960 is an apocalyptic number.

106530960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106530960 is an abundant number, since it is smaller than the sum of its proper divisors (223715760).

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

106530960 is a wasteful number, since it uses less digits than its factorization.

106530960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443895 (or 443889 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106530960 is about 10321.3836281770. The cubic root of 106530960 is about 474.0512326898.

The spelling of 106530960 in words is "one hundred six million, five hundred thirty thousand, nine hundred sixty".