106759296 has 160 divisors (see below), whose sum is σ = 363348480. Its totient is φ = 30481920.

The previous prime is 106759291. The next prime is 106759297. The reversal of 106759296 is 692957601.

It is a happy number.

It is a super-2 number, since 2×106759296² = 22795094564831232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106759291) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71841 + ... + 73311.

It is an arithmetic number, because the mean of its divisors is an integer number (2270928).

Almost surely, 2^106759296 is an apocalyptic number.

106759296 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 106759296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181674240).

106759296 is an abundant number, since it is smaller than the sum of its proper divisors (256589184).

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

106759296 is an equidigital number, since it uses as much as digits as its factorization.

106759296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 106759296 is about 10332.4390150632. The cubic root of 106759296 is about 474.3896811529.

The spelling of 106759296 in words is "one hundred six million, seven hundred fifty-nine thousand, two hundred ninety-six".