101805048427260 has 192 divisors, whose sum is σ = 305149849804800. Its totient is φ = 25286231801088.

The previous prime is 101805048427231. The next prime is 101805048427267. The reversal of 101805048427260 is 62724840508101.

It is a happy number.

It is a super-2 number, since 2×101805048427260² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101805048427267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13202617 + ... + 19440143.

It is an arithmetic number, because the mean of its divisors is an integer number (1589322134400).

Almost surely, 2^{101805048427260} is an apocalyptic number.

101805048427260 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 101805048427260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152574924902400).

101805048427260 is an abundant number, since it is smaller than the sum of its proper divisors (203344801377540).

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

101805048427260 is a wasteful number, since it uses less digits than its factorization.

101805048427260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237800 (or 6237798 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 101805048427260 in words is "one hundred one trillion, eight hundred five billion, forty-eight million, four hundred twenty-seven thousand, two hundred sixty".