105634591992 has 256 divisors, whose sum is σ = 314772480000. Its totient is φ = 32727214080.

The previous prime is 105634591987. The next prime is 105634592029. The reversal of 105634591992 is 299195436501.

105634591992 is a `hidden beast` number, since 10 + 5 + 6 + 34 + 591 + 9 + 9 + 2 = 666.

105634591992 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105634591992² (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 63 ways as a sum of consecutive naturals, for example, 50039017 + ... + 50041127.

It is an arithmetic number, because the mean of its divisors is an integer number (1229580000).

Almost surely, 2^105634591992 is an apocalyptic number.

105634591992 is a gapful number since it is divisible by the number (12) 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 105634591992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157386240000).

105634591992 is an abundant number, since it is smaller than the sum of its proper divisors (209137888008).

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

105634591992 is a wasteful number, since it uses less digits than its factorization.

105634591992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 105634591992 in words is "one hundred five billion, six hundred thirty-four million, five hundred ninety-one thousand, nine hundred ninety-two".