106737282 has 48 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 34312320.

The previous prime is 106737229. The next prime is 106737287. The reversal of 106737282 is 282737601.

It is a super-2 number, since 2×106737282² = 22785694737495048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106737287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59178 + ... + 60954.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^106737282 is an apocalyptic number.

106737282 is an abundant number, since it is smaller than the sum of its proper divisors (132908670).

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

106737282 is a wasteful number, since it uses less digits than its factorization.

106737282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106737282 is about 10331.3736743959. The cubic root of 106737282 is about 474.3570721820.

It can be divided in two parts, 10673 and 7282, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 106737282 in words is "one hundred six million, seven hundred thirty-seven thousand, two hundred eighty-two".