106730496 has 132 divisors (see below), whose sum is σ = 317522452. Its totient is φ = 34504704.

The previous prime is 106730483. The next prime is 106730549. The reversal of 106730496 is 694037601.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 66585600 = 6336^2 + 8160^2 .

It is a super-2 number, since 2×106730496² = 22782797552812032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106730496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340836 + ... + 341148.

Almost surely, 2^106730496 is an apocalyptic number.

106730496 is a gapful number since it is divisible by the number (16) 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 106730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158761226).

106730496 is an abundant number, since it is smaller than the sum of its proper divisors (210791956).

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

106730496 is a wasteful number, since it uses less digits than its factorization.

106730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106730496 is about 10331.0452520546. The cubic root of 106730496 is about 474.3470192894.

The spelling of 106730496 in words is "one hundred six million, seven hundred thirty thousand, four hundred ninety-six".