101820542260 has 48 divisors (see below), whose sum is σ = 219214537920. Its totient is φ = 39702882560.

The previous prime is 101820542179. The next prime is 101820542273. The reversal of 101820542260 is 62245028101.

It is a super-2 number, since 2×101820542260² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983067 + ... + 1081693.

It is an arithmetic number, because the mean of its divisors is an integer number (4566969540).

Almost surely, 2^101820542260 is an apocalyptic number.

101820542260 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 101820542260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109607268960).

101820542260 is an abundant number, since it is smaller than the sum of its proper divisors (117393995660).

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

101820542260 is a wasteful number, since it uses less digits than its factorization.

101820542260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99936 (or 99934 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 101820542260 in words is "one hundred one billion, eight hundred twenty million, five hundred forty-two thousand, two hundred sixty".