101798160 has 120 divisors (see below), whose sum is σ = 323770944. Its totient is φ = 26457600.

The previous prime is 101798131. The next prime is 101798173. The reversal of 101798160 is 61897101.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674085 + ... + 674235.

Almost surely, 2^101798160 is an apocalyptic number.

101798160 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 101798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161885472).

101798160 is an abundant number, since it is smaller than the sum of its proper divisors (221972784).

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

101798160 is a wasteful number, since it uses less digits than its factorization.

101798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 101798160 is about 10089.5074210786. The cubic root of 101798160 is about 466.9244788594.

The spelling of 101798160 in words is "one hundred one million, seven hundred ninety-eight thousand, one hundred sixty".