101161088 has 72 divisors (see below), whose sum is σ = 236295495. Its totient is φ = 43013376.

The previous prime is 101161087. The next prime is 101161097. The reversal of 101161088 is 880161101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50580544 + 50580544 = 7112^2 + 7112^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7112.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101161087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 796481 + ... + 796607.

Almost surely, 2^101161088 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 101161088

101161088 is an abundant number, since it is smaller than the sum of its proper divisors (135134407).

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

101161088 is an frugal number, since it uses more digits than its factorization.

101161088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 26.

The square root of 101161088 is about 10057.8868555975. The cubic root of 101161088 is about 465.9484061823.

The spelling of 101161088 in words is "one hundred one million, one hundred sixty-one thousand, eighty-eight".