101254805732860 has 96 divisors (see below), whose sum is σ = 234624950949312. Its totient is φ = 36468950353920.

The previous prime is 101254805732837. The next prime is 101254805732929. The reversal of 101254805732860 is 68237508452101.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 101254805732798 and 101254805732807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2557402 + ... + 14458558.

It is an arithmetic number, because the mean of its divisors is an integer number (2444009905722).

Almost surely, 2^{101254805732860} is an apocalyptic number.

101254805732860 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 101254805732860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117312475474656).

101254805732860 is an abundant number, since it is smaller than the sum of its proper divisors (133370145216452).

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

101254805732860 is a wasteful number, since it uses less digits than its factorization.

101254805732860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901983 (or 11901981 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 101254805732860 in words is "one hundred one trillion, two hundred fifty-four billion, eight hundred five million, seven hundred thirty-two thousand, eight hundred sixty".