101079088 has 80 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 43027200.

The previous prime is 101079073. The next prime is 101079091. The reversal of 101079088 is 880970101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558358 + ... + 558538.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^101079088 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 101079088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

101079088 is an abundant number, since it is smaller than the sum of its proper divisors (126406352).

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

101079088 is a wasteful number, since it uses less digits than its factorization.

101079088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 101079088 is about 10053.8096262064. The cubic root of 101079088 is about 465.8224746991.

The spelling of 101079088 in words is "one hundred one million, seventy-nine thousand, eighty-eight".