106882272 has 72 divisors (see below), whose sum is σ = 347373936. Its totient is φ = 30537216.

The previous prime is 106882271. The next prime is 106882273. The reversal of 106882272 is 272288601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106882271) and next prime (106882273).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×106882272³ (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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106882271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24493 + ... + 28524.

It is an arithmetic number, because the mean of its divisors is an integer number (4824638).

Almost surely, 2^106882272 is an apocalyptic number.

106882272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106882272 is an abundant number, since it is smaller than the sum of its proper divisors (240491664).

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

106882272 is a wasteful number, since it uses less digits than its factorization.

106882272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53040 (or 53029 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106882272 is about 10338.3882689711. The cubic root of 106882272 is about 474.5717610338.

The spelling of 106882272 in words is "one hundred six million, eight hundred eighty-two thousand, two hundred seventy-two".