106796520 has 96 divisors (see below), whose sum is σ = 355212000. Its totient is φ = 27812736.

The previous prime is 106796509. The next prime is 106796527. The reversal of 106796520 is 25697601.

It is a super-2 number, since 2×106796520² = 22810993368220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106796527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12031 + ... + 18929.

It is an arithmetic number, because the mean of its divisors is an integer number (3700125).

Almost surely, 2^106796520 is an apocalyptic number.

106796520 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 106796520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177606000).

106796520 is an abundant number, since it is smaller than the sum of its proper divisors (248415480).

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

106796520 is a wasteful number, since it uses less digits than its factorization.

106796520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106796520 is about 10334.2401752620. The cubic root of 106796520 is about 474.4448102461. Note that the first 3 decimals are identical.

The spelling of 106796520 in words is "one hundred six million, seven hundred ninety-six thousand, five hundred twenty".