101781875160 has 640 divisors, whose sum is σ = 418008729600. Its totient is φ = 21705615360.

The previous prime is 101781875147. The next prime is 101781875171. The reversal of 101781875160 is 61578187101.

It is a happy number.

It is a super-2 number, since 2×101781875160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 21384861 + ... + 21389619.

It is an arithmetic number, because the mean of its divisors is an integer number (653138640).

Almost surely, 2^101781875160 is an apocalyptic number.

101781875160 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 101781875160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209004364800).

101781875160 is an abundant number, since it is smaller than the sum of its proper divisors (316226854440).

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

101781875160 is a wasteful number, since it uses less digits than its factorization.

101781875160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 45.

The spelling of 101781875160 in words is "one hundred one billion, seven hundred eighty-one million, eight hundred seventy-five thousand, one hundred sixty".