105368558160 has 160 divisors (see below), whose sum is σ = 349090549632. Its totient is φ = 26198179840.

The previous prime is 105368558137. The next prime is 105368558167. The reversal of 105368558160 is 61855863501.

It is a super-2 number, since 2×105368558160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105368558167) 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, 315880 + ... + 557240.

Almost surely, 2^105368558160 is an apocalyptic number.

105368558160 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 105368558160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545274816).

105368558160 is an abundant number, since it is smaller than the sum of its proper divisors (243721991472).

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

105368558160 is a wasteful number, since it uses less digits than its factorization.

105368558160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241501 (or 241495 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 105368558160 in words is "one hundred five billion, three hundred sixty-eight million, five hundred fifty-eight thousand, one hundred sixty".