101605104 has 140 divisors (see below), whose sum is σ = 305760192. Its totient is φ = 32659200.

The previous prime is 101605061. The next prime is 101605109. The reversal of 101605104 is 401506101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101605109) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 361444 + ... + 361724.

Almost surely, 2^101605104 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 101605104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880096).

101605104 is an abundant number, since it is smaller than the sum of its proper divisors (204155088).

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

101605104 is an equidigital number, since it uses as much as digits as its factorization.

101605104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101605104 is about 10079.9357140807. The cubic root of 101605104 is about 466.6291244175.

The spelling of 101605104 in words is "one hundred one million, six hundred five thousand, one hundred four".