106901280 has 144 divisors (see below), whose sum is σ = 371085624. Its totient is φ = 28016640.

The previous prime is 106901257. The next prime is 106901281. The reversal of 106901280 is 82109601.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 60279696 = 6828^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106901280² = 22855767331276800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106901281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87232 + ... + 88448.

Almost surely, 2^106901280 is an apocalyptic number.

106901280 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 106901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185542812).

106901280 is an abundant number, since it is smaller than the sum of its proper divisors (264184344).

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

106901280 is a wasteful number, since it uses less digits than its factorization.

106901280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106901280 is about 10339.3075203323. The cubic root of 106901280 is about 474.5998920642.

The spelling of 106901280 in words is "one hundred six million, nine hundred one thousand, two hundred eighty".