106721280 has 208 divisors, whose sum is σ = 381372960. Its totient is φ = 28311552.

The previous prime is 106721273. The next prime is 106721297. The reversal of 106721280 is 82127601.

It is a super-2 number, since 2×106721280² = 22778863209676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552864 + ... + 553056.

Almost surely, 2^106721280 is an apocalyptic number.

106721280 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 106721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190686480).

106721280 is an abundant number, since it is smaller than the sum of its proper divisors (274651680).

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

106721280 is an equidigital number, since it uses as much as digits as its factorization.

106721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106721280 is about 10330.5992081776. The cubic root of 106721280 is about 474.3333658722. Note that the first 4 decimals are identical.

Adding to 106721280 its reverse (82127601), we get a palindrome (188848881).

The spelling of 106721280 in words is "one hundred six million, seven hundred twenty-one thousand, two hundred eighty".