105837133019136 has 192 divisors, whose sum is σ = 299007149444640. Its totient is φ = 33176483266560.

The previous prime is 105837133019131. The next prime is 105837133019179. The reversal of 105837133019136 is 631910331738501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105837133019136² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105837133019131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126696906 + ... + 127529526.

Almost surely, 2^{105837133019136} is an apocalyptic number.

105837133019136 is a gapful number since it is divisible by the number (16) 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 105837133019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149503574722320).

105837133019136 is an abundant number, since it is smaller than the sum of its proper divisors (193170016425504).

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

105837133019136 is a wasteful number, since it uses less digits than its factorization.

105837133019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833880 (or 833860 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 105837133019136 in words is "one hundred five trillion, eight hundred thirty-seven billion, one hundred thirty-three million, nineteen thousand, one hundred thirty-six".