101605050 has 96 divisors (see below), whose sum is σ = 284088960. Its totient is φ = 26697600.

The previous prime is 101605033. The next prime is 101605061. The reversal of 101605050 is 50506101.

101605050 is a `hidden beast` number, since 1 + 0 + 160 + 505 + 0 = 666.

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

It is a congruent number.

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, 98035 + ... + 99065.

It is an arithmetic number, because the mean of its divisors is an integer number (2959260).

Almost surely, 2^101605050 is an apocalyptic number.

101605050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101605050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142044480).

101605050 is an abundant number, since it is smaller than the sum of its proper divisors (182483910).

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

101605050 is a wasteful number, since it uses less digits than its factorization.

101605050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101605050 is about 10079.9330354919. The cubic root of 101605050 is about 466.6290417512.

The spelling of 101605050 in words is "one hundred one million, six hundred five thousand, fifty".