106493360 has 40 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 42513152.

The previous prime is 106493357. The next prime is 106493369. The reversal of 106493360 is 63394601.

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-3 number, since 3×106493360³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106493369) 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, 53666 + ... + 55614.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2^106493360 is an apocalyptic number.

106493360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106493360 is an abundant number, since it is smaller than the sum of its proper divisors (141593440).

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

106493360 is a wasteful number, since it uses less digits than its factorization.

106493360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 106493360 is about 10319.5620062094. The cubic root of 106493360 is about 473.9954541512.

The spelling of 106493360 in words is "one hundred six million, four hundred ninety-three thousand, three hundred sixty".