106501320 has 48 divisors (see below), whose sum is σ = 346130460. Its totient is φ = 28400256.

The previous prime is 106501309. The next prime is 106501387. The reversal of 106501320 is 23105601.

106501320 is a `hidden beast` number, since 1 + 0 + 650 + 13 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104898564 + 1602756 = 10242^2 + 1266^2 .

It is a super-2 number, since 2×106501320² = 22685062323484800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106501293 and 106501302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147559 + ... + 148278.

Almost surely, 2^106501320 is an apocalyptic number.

106501320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106501320 is an abundant number, since it is smaller than the sum of its proper divisors (239629140).

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

106501320 is a wasteful number, since it uses less digits than its factorization.

106501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295854 (or 295847 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106501320 is about 10319.9476742860. The cubic root of 106501320 is about 474.0072636819.

Adding to 106501320 its reverse (23105601), we get a palindrome (129606921).

The spelling of 106501320 in words is "one hundred six million, five hundred one thousand, three hundred twenty".