105511650551340 has 384 divisors, whose sum is σ = 340063015219200. Its totient is φ = 24174540149760.

The previous prime is 105511650551317. The next prime is 105511650551399. The reversal of 105511650551340 is 43155056115501.

It is a happy number.

It is a super-2 number, since 2×105511650551340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105511650551292 and 105511650551301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9511546834 + ... + 9511557926.

It is an arithmetic number, because the mean of its divisors is an integer number (885580768800).

Almost surely, 2^{105511650551340} is an apocalyptic number.

105511650551340 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 105511650551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170031507609600).

105511650551340 is an abundant number, since it is smaller than the sum of its proper divisors (234551364667860).

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

105511650551340 is a wasteful number, since it uses less digits than its factorization.

105511650551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12877 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 105511650551340 in words is "one hundred five trillion, five hundred eleven billion, six hundred fifty million, five hundred fifty-one thousand, three hundred forty".