106495520 has 96 divisors (see below), whose sum is σ = 269039232. Its totient is φ = 39739392.

The previous prime is 106495489. The next prime is 106495523. The reversal of 106495520 is 25594601.

It is a happy number.

It is a super-2 number, since 2×106495520² = 22682591560140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106495523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157904 + ... + 158576.

It is an arithmetic number, because the mean of its divisors is an integer number (2802492).

Almost surely, 2^106495520 is an apocalyptic number.

106495520 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 106495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134519616).

106495520 is an abundant number, since it is smaller than the sum of its proper divisors (162543712).

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

106495520 is a wasteful number, since it uses less digits than its factorization.

106495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 106495520 is about 10319.6666612832. Note that the first 5 decimals coincide. The cubic root of 106495520 is about 473.9986588056.

The spelling of 106495520 in words is "one hundred six million, four hundred ninety-five thousand, five hundred twenty".