106953280 has 168 divisors, whose sum is σ = 312724800. Its totient is φ = 34642944.

The previous prime is 106953277. The next prime is 106953283. The reversal of 106953280 is 82359601.

It is an interprime number because it is at equal distance from previous prime (106953277) and next prime (106953283).

It is a super-2 number, since 2×106953280² = 22878008205516800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106953283) 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, 297741 + ... + 298099.

Almost surely, 2^106953280 is an apocalyptic number.

106953280 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 106953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156362400).

106953280 is an abundant number, since it is smaller than the sum of its proper divisors (205771520).

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

106953280 is a wasteful number, since it uses less digits than its factorization.

106953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 106953280 is about 10341.8218897833. The cubic root of 106953280 is about 474.6768328140.

The spelling of 106953280 in words is "one hundred six million, nine hundred fifty-three thousand, two hundred eighty".