106278720 has 112 divisors (see below), whose sum is σ = 340156800. Its totient is φ = 28112896.

The previous prime is 106278701. The next prime is 106278721. The reversal of 106278720 is 27872601.

It is a super-2 number, since 2×106278720² = 22590332649676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106278721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142669 + ... + 143411.

Almost surely, 2^106278720 is an apocalyptic number.

106278720 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 106278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

106278720 is an abundant number, since it is smaller than the sum of its proper divisors (233878080).

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

106278720 is a wasteful number, since it uses less digits than its factorization.

106278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 106278720 is about 10309.1570945446. The cubic root of 106278720 is about 473.6767901112.

The spelling of 106278720 in words is "one hundred six million, two hundred seventy-eight thousand, seven hundred twenty".