101161728 has 162 divisors, whose sum is σ = 308580636. Its totient is φ = 31865856.

The previous prime is 101161727. The next prime is 101161741. The reversal of 101161728 is 827161101.

101161728 is a `hidden beast` number, since 10 + 11 + 617 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (101161727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1218775 + ... + 1218857.

Almost surely, 2^101161728 is an apocalyptic number.

101161728 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 101161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154290318).

101161728 is an abundant number, since it is smaller than the sum of its proper divisors (207418908).

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

101161728 is an equidigital number, since it uses as much as digits as its factorization.

101161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 101161728 is about 10057.9186713753. The cubic root of 101161728 is about 465.9493887945.

The spelling of 101161728 in words is "one hundred one million, one hundred sixty-one thousand, seven hundred twenty-eight".