101071104 has 72 divisors (see below), whose sum is σ = 271868352. Its totient is φ = 33331200.

The previous prime is 101071093. The next prime is 101071111. The reversal of 101071104 is 401170101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76917 + ... + 78219.

Almost surely, 2^101071104 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 101071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135934176).

101071104 is an abundant number, since it is smaller than the sum of its proper divisors (170797248).

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

101071104 is a wasteful number, since it uses less digits than its factorization.

101071104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 101071104 is about 10053.4125549487. The cubic root of 101071104 is about 465.8102096348.

It can be divided in two parts, 10107 and 1104, that added together give a palindrome (11211).

The spelling of 101071104 in words is "one hundred one million, seventy-one thousand, one hundred four".