105882992640 has 540 divisors, whose sum is σ = 383082535836. Its totient is φ = 28092137472.

The previous prime is 105882992639. The next prime is 105882992651. The reversal of 105882992640 is 46299288501.

It is a happy number.

105882992640 is a `hidden beast` number, since 10 + 5 + 88 + 299 + 264 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78364164096 + 27518828544 = 279936^2 + 165888^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×105882992640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537477022 + ... + 537477218.

Almost surely, 2^105882992640 is an apocalyptic number.

105882992640 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 105882992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191541267918).

105882992640 is an abundant number, since it is smaller than the sum of its proper divisors (277199543196).

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

105882992640 is an frugal number, since it uses more digits than its factorization.

105882992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 105882992640 in words is "one hundred five billion, eight hundred eighty-two million, nine hundred ninety-two thousand, six hundred forty".