101048330160 has 120 divisors (see below), whose sum is σ = 339740432304. Its totient is φ = 26915535360.

The previous prime is 101048330093. The next prime is 101048330167. The reversal of 101048330160 is 61033840101.

101048330160 is a `hidden beast` number, since 10 + 10 + 483 + 3 + 0 + 160 = 666.

It is a Cunningham number, because it is equal to 317881²-1.

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

It is not an unprimeable number, because it can be changed into a prime (101048330167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556290 + ... + 715230.

Almost surely, 2^101048330160 is an apocalyptic number.

101048330160 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 101048330160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169870216152).

101048330160 is an abundant number, since it is smaller than the sum of its proper divisors (238692102144).

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

101048330160 is a wasteful number, since it uses less digits than its factorization.

101048330160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159843 (or 159834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101048330160 in words is "one hundred one billion, forty-eight million, three hundred thirty thousand, one hundred sixty".