101820160 has 144 divisors (see below), whose sum is σ = 272996640. Its totient is φ = 36126720.

The previous prime is 101820139. The next prime is 101820197. The reversal of 101820160 is 61028101.

It is a congruent number.

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, 482455 + ... + 482665.

It is an arithmetic number, because the mean of its divisors is an integer number (1895810).

Almost surely, 2^101820160 is an apocalyptic number.

101820160 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 101820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136498320).

101820160 is an abundant number, since it is smaller than the sum of its proper divisors (171176480).

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

101820160 is a wasteful number, since it uses less digits than its factorization.

101820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 101820160 is about 10090.5976037101. The cubic root of 101820160 is about 466.9581127307.

Adding to 101820160 its reverse (61028101), we get a palindrome (162848261).

The spelling of 101820160 in words is "one hundred one million, eight hundred twenty thousand, one hundred sixty".