105355141632 has 240 divisors, whose sum is σ = 328264536600. Its totient is φ = 32336510976.

The previous prime is 105355141631. The next prime is 105355141637. The reversal of 105355141632 is 236141553501.

105355141632 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 5 + 14 + 1 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91939942656 + 13415198976 = 303216^2 + 115824^2 .

It is a super-2 number, since 2×105355141632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105355141631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26894938 + ... + 26898854.

Almost surely, 2^105355141632 is an apocalyptic number.

105355141632 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 105355141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164132268300).

105355141632 is an abundant number, since it is smaller than the sum of its proper divisors (222909394968).

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

105355141632 is a wasteful number, since it uses less digits than its factorization.

105355141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105355141632 in words is "one hundred five billion, three hundred fifty-five million, one hundred forty-one thousand, six hundred thirty-two".