106500240 has 480 divisors, whose sum is σ = 476326656. Its totient is φ = 20643840.

The previous prime is 106500239. The next prime is 106500253. The reversal of 106500240 is 42005601.

It is a happy number.

106500240 is a `hidden beast` number, since 10 + 650 + 0 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×106500240² = 22684602240115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942424 + ... + 942536.

Almost surely, 2^106500240 is an apocalyptic number.

106500240 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 106500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238163328).

106500240 is an abundant number, since it is smaller than the sum of its proper divisors (369826416).

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

106500240 is a wasteful number, since it uses less digits than its factorization.

106500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106500240 is about 10319.8953483066. The cubic root of 106500240 is about 474.0056614183.

Adding to 106500240 its reverse (42005601), we get a palindrome (148505841).

The spelling of 106500240 in words is "one hundred six million, five hundred thousand, two hundred forty".