101806232160 has 192 divisors, whose sum is σ = 339219353088. Its totient is φ = 25612038144.

The previous prime is 101806232081. The next prime is 101806232173. The reversal of 101806232160 is 61232608101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742759 + ... + 869081.

It is an arithmetic number, because the mean of its divisors is an integer number (1766767464).

Almost surely, 2^101806232160 is an apocalyptic number.

101806232160 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 101806232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169609676544).

101806232160 is an abundant number, since it is smaller than the sum of its proper divisors (237413120928).

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

101806232160 is a wasteful number, since it uses less digits than its factorization.

101806232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126437 (or 126429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 101806232160 in words is "one hundred one billion, eight hundred six million, two hundred thirty-two thousand, one hundred sixty".