106012720 has 80 divisors (see below), whose sum is σ = 274080672. Its totient is φ = 37806080.

The previous prime is 106012657. The next prime is 106012729. The reversal of 106012720 is 27210601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106012720² = 22477393603596800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106012729) 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, 45504 + ... + 47776.

Almost surely, 2^106012720 is an apocalyptic number.

106012720 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 106012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137040336).

106012720 is an abundant number, since it is smaller than the sum of its proper divisors (168067952).

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

106012720 is a wasteful number, since it uses less digits than its factorization.

106012720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 106012720 is about 10296.2478602644. The cubic root of 106012720 is about 473.2812788531.

The spelling of 106012720 in words is "one hundred six million, twelve thousand, seven hundred twenty".