101088000 has 432 divisors, whose sum is σ = 406232736. Its totient is φ = 24883200.

The previous prime is 101087981. The next prime is 101088047. The reversal of 101088000 is 880101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×101088000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775994 + ... + 7776006.

Almost surely, 2^101088000 is an apocalyptic number.

101088000 is a gapful number since it is divisible by the number (10) 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 101088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203116368).

101088000 is an abundant number, since it is smaller than the sum of its proper divisors (305144736).

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

101088000 is an frugal number, since it uses more digits than its factorization.

101088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101088000 is about 10054.2528315136. The cubic root of 101088000 is about 465.8361645994.

The spelling of 101088000 in words is "one hundred one million, eighty-eight thousand".