101882436456260 has 24 divisors (see below), whose sum is σ = 213953307855000. Its totient is φ = 40752938145024.

The previous prime is 101882436456247. The next prime is 101882436456287. The reversal of 101882436456260 is 62654634288101.

It can be written as a sum of positive squares in 4 ways, for example, as 8029277625604 + 93853158830656 = 2833598^2 + 9687784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101882436456196 and 101882436456205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38184512 + ... + 40765448.

It is an arithmetic number, because the mean of its divisors is an integer number (8914721160625).

Almost surely, 2^{101882436456260} is an apocalyptic number.

101882436456260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101882436456260 is an abundant number, since it is smaller than the sum of its proper divisors (112070871398740).

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

101882436456260 is a wasteful number, since it uses less digits than its factorization.

101882436456260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554695 (or 4554693 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 101882436456260 in words is "one hundred one trillion, eight hundred eighty-two billion, four hundred thirty-six million, four hundred fifty-six thousand, two hundred sixty".