106001280 has 384 divisors, whose sum is σ = 458265600. Its totient is φ = 21934080.

The previous prime is 106001257. The next prime is 106001299. The reversal of 106001280 is 82100601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106001280² = 22472542723276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443401 + ... + 443639.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^106001280 is an apocalyptic number.

106001280 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 106001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

106001280 is an abundant number, since it is smaller than the sum of its proper divisors (352264320).

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

106001280 is a wasteful number, since it uses less digits than its factorization.

106001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106001280 is about 10295.6923030945. The cubic root of 106001280 is about 473.2642540640.

Adding to 106001280 its reverse (82100601), we get a palindrome (188101881).

The spelling of 106001280 in words is "one hundred six million, one thousand, two hundred eighty".