105437137008 has 320 divisors, whose sum is σ = 331578777600. Its totient is φ = 28234137600.

The previous prime is 105437136989. The next prime is 105437137033. The reversal of 105437137008 is 800731734501.

It is a super-2 number, since 2×105437137008² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63630516 + ... + 63632172.

It is an arithmetic number, because the mean of its divisors is an integer number (1036183680).

Almost surely, 2^105437137008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105437137008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165789388800).

105437137008 is an abundant number, since it is smaller than the sum of its proper divisors (226141640592).

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

105437137008 is a wasteful number, since it uses less digits than its factorization.

105437137008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 105437137008 in words is "one hundred five billion, four hundred thirty-seven million, one hundred thirty-seven thousand, eight".