101868187000 has 64 divisors (see below), whose sum is σ = 238567155840. Its totient is φ = 40713840000.

The previous prime is 101868186997. The next prime is 101868187009. The reversal of 101868187000 is 781868101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101868187009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195825 + ... + 1278175.

It is an arithmetic number, because the mean of its divisors is an integer number (3727611810).

Almost surely, 2^101868187000 is an apocalyptic number.

101868187000 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 101868187000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119283577920).

101868187000 is an abundant number, since it is smaller than the sum of its proper divisors (136698968840).

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

101868187000 is a wasteful number, since it uses less digits than its factorization.

101868187000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83609 (or 83595 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 40.

The spelling of 101868187000 in words is "one hundred one billion, eight hundred sixty-eight million, one hundred eighty-seven thousand".