106465500 has 144 divisors (see below), whose sum is σ = 342407520. Its totient is φ = 27840000.

The previous prime is 106465487. The next prime is 106465517. The reversal of 106465500 is 5564601.

It is a happy number.

106465500 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 655 + 0 + 0 = 666.

It is a super-2 number, since 2×106465500² = 22669805380500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265300 + ... + 265700.

It is an arithmetic number, because the mean of its divisors is an integer number (2377830).

Almost surely, 2^106465500 is an apocalyptic number.

106465500 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 106465500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171203760).

106465500 is an abundant number, since it is smaller than the sum of its proper divisors (235942020).

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

106465500 is a wasteful number, since it uses less digits than its factorization.

106465500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106465500 is about 10318.2120544211. The cubic root of 106465500 is about 473.9541161589.

It can be divided in two parts, 1064 and 65500, that added together give a square (66564 = 258²).

The spelling of 106465500 in words is "one hundred six million, four hundred sixty-five thousand, five hundred".