105382587630 has 64 divisors (see below), whose sum is σ = 257778132480. Its totient is φ = 27562394496.

The previous prime is 105382587619. The next prime is 105382587637. The reversal of 105382587630 is 36785283501.

It is a super-2 number, since 2×105382587630² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105382587630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105382587637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5496601 + ... + 5515739.

It is an arithmetic number, because the mean of its divisors is an integer number (4027783320).

Almost surely, 2^105382587630 is an apocalyptic number.

105382587630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105382587630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128889066240).

105382587630 is an abundant number, since it is smaller than the sum of its proper divisors (152395544850).

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

105382587630 is a wasteful number, since it uses less digits than its factorization.

105382587630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22665.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 105382587630 in words is "one hundred five billion, three hundred eighty-two million, five hundred eighty-seven thousand, six hundred thirty".