101762758340 has 96 divisors (see below), whose sum is σ = 223608958944. Its totient is φ = 38862581760.

The previous prime is 101762758309. The next prime is 101762758367. The reversal of 101762758340 is 43857267101.

It can be written as a sum of positive squares in 16 ways, for example, as 17690596036 + 84072162304 = 133006^2 + 289952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101762758291 and 101762758300.

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, 20626514 + ... + 20631446.

It is an arithmetic number, because the mean of its divisors is an integer number (2329259989).

Almost surely, 2^101762758340 is an apocalyptic number.

101762758340 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 101762758340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111804479472).

101762758340 is an abundant number, since it is smaller than the sum of its proper divisors (121846200604).

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

101762758340 is a wasteful number, since it uses less digits than its factorization.

101762758340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 101762758340 in words is "one hundred one billion, seven hundred sixty-two million, seven hundred fifty-eight thousand, three hundred forty".