106751728 has 20 divisors (see below), whose sum is σ = 217717960. Its totient is φ = 50566464.

The previous prime is 106751719. The next prime is 106751731. The reversal of 106751728 is 827157601.

It is a super-2 number, since 2×106751728² = 22791862861971968, which 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 3 ways as a sum of consecutive naturals, for example, 175275 + ... + 175882.

It is an arithmetic number, because the mean of its divisors is an integer number (10885898).

Almost surely, 2^106751728 is an apocalyptic number.

It is an amenable number.

106751728 is an abundant number, since it is smaller than the sum of its proper divisors (110966232).

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

106751728 is a wasteful number, since it uses less digits than its factorization.

106751728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351184 (or 351178 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 106751728 is about 10332.0727833286. The cubic root of 106751728 is about 474.3784713065.

It can be divided in two parts, 10675 and 1728, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 106751728 in words is "one hundred six million, seven hundred fifty-one thousand, seven hundred twenty-eight".