101086728 has 32 divisors (see below), whose sum is σ = 252970560. Its totient is φ = 33661760.

The previous prime is 101086681. The next prime is 101086729. The reversal of 101086728 is 827680101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101086729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37258 + ... + 39878.

It is an arithmetic number, because the mean of its divisors is an integer number (7905330).

Almost surely, 2^101086728 is an apocalyptic number.

It is an amenable number.

101086728 is an abundant number, since it is smaller than the sum of its proper divisors (151883832).

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

101086728 is a wasteful number, since it uses less digits than its factorization.

101086728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 101086728 is about 10054.1895745008. The cubic root of 101086728 is about 465.8342107041.

It can be divided in two parts, 10108 and 6728, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 101086728 in words is "one hundred one million, eighty-six thousand, seven hundred twenty-eight".