106731633272 has 64 divisors (see below), whose sum is σ = 225735552000. Its totient is φ = 46870560000.

The previous prime is 106731633257. The next prime is 106731633287. The reversal of 106731633272 is 272336137601.

It is an interprime number because it is at equal distance from previous prime (106731633257) and next prime (106731633287).

It is a super-2 number, since 2×106731633272² (a number of 23 digits) contains 22 as substring.

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, 1606979 + ... + 1672077.

It is an arithmetic number, because the mean of its divisors is an integer number (3527118000).

Almost surely, 2^106731633272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106731633272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112867776000).

106731633272 is an abundant number, since it is smaller than the sum of its proper divisors (119003918728).

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

106731633272 is a wasteful number, since it uses less digits than its factorization.

106731633272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65748 (or 65744 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 41.

The spelling of 106731633272 in words is "one hundred six billion, seven hundred thirty-one million, six hundred thirty-three thousand, two hundred seventy-two".