101053532160 has 864 divisors, whose sum is σ = 416132458560. Its totient is φ = 22215720960.

The previous prime is 101053532119. The next prime is 101053532171. The reversal of 101053532160 is 61235350101.

101053532160 is a `hidden beast` number, since 10 + 10 + 53 + 532 + 1 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619960239 + ... + 619960401.

It is an arithmetic number, because the mean of its divisors is an integer number (481634790).

Almost surely, 2^101053532160 is an apocalyptic number.

101053532160 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 101053532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208066229280).

101053532160 is an abundant number, since it is smaller than the sum of its proper divisors (315078926400).

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

101053532160 is a wasteful number, since it uses less digits than its factorization.

101053532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 101053532160 its reverse (61235350101), we get a palindrome (162288882261).

The spelling of 101053532160 in words is "one hundred one billion, fifty-three million, five hundred thirty-two thousand, one hundred sixty".