101086128 has 120 divisors (see below), whose sum is σ = 332426640. Its totient is φ = 28270080.

The previous prime is 101086121. The next prime is 101086129. The reversal of 101086128 is 821680101.

It is not an unprimeable number, because it can be changed into a prime (101086121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18138 + ... + 23046.

It is an arithmetic number, because the mean of its divisors is an integer number (2770222).

Almost surely, 2^101086128 is an apocalyptic number.

101086128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101086128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166213320).

101086128 is an abundant number, since it is smaller than the sum of its proper divisors (231340512).

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

101086128 is a wasteful number, since it uses less digits than its factorization.

101086128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101086128 is about 10054.1597361490. The cubic root of 101086128 is about 465.8332890497.

The spelling of 101086128 in words is "one hundred one million, eighty-six thousand, one hundred twenty-eight".