106972096 has 112 divisors (see below), whose sum is σ = 270662400. Its totient is φ = 41583360.

The previous prime is 106972091. The next prime is 106972121. The reversal of 106972096 is 690279601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106972096² = 22886058645266432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106972091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241251 + ... + 241693.

Almost surely, 2^106972096 is an apocalyptic number.

106972096 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 106972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331200).

106972096 is an abundant number, since it is smaller than the sum of its proper divisors (163690304).

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

106972096 is an equidigital number, since it uses as much as digits as its factorization.

106972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 106972096 is about 10342.7315540915. The cubic root of 106972096 is about 474.7046673837.

The spelling of 106972096 in words is "one hundred six million, nine hundred seventy-two thousand, ninety-six".