106337280 has 352 divisors, whose sum is σ = 415033344. Its totient is φ = 22708224.

The previous prime is 106337249. The next prime is 106337291. The reversal of 106337280 is 82733601.

It is a super-3 number, since 3×106337280³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472939 + ... + 2472981.

It is an arithmetic number, because the mean of its divisors is an integer number (1179072).

Almost surely, 2^106337280 is an apocalyptic number.

106337280 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 106337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207516672).

106337280 is an abundant number, since it is smaller than the sum of its proper divisors (308696064).

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

106337280 is a wasteful number, since it uses less digits than its factorization.

106337280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 106337280 is about 10311.9968968188. The cubic root of 106337280 is about 473.7637734060.

The spelling of 106337280 in words is "one hundred six million, three hundred thirty-seven thousand, two hundred eighty".