105551115012 has 144 divisors (see below), whose sum is σ = 318498143040. Its totient is φ = 30141417600.

The previous prime is 105551115001. The next prime is 105551115037. The reversal of 105551115012 is 210511155501.

It is a happy number.

105551115012 is a `hidden beast` number, since 105 + 5 + 51 + 1 + 1 + 501 + 2 = 666.

It is a super-2 number, since 2×105551115012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12913687 + ... + 12921857.

It is an arithmetic number, because the mean of its divisors is an integer number (2211792660).

Almost surely, 2^105551115012 is an apocalyptic number.

105551115012 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 105551115012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159249071520).

105551115012 is an abundant number, since it is smaller than the sum of its proper divisors (212947028028).

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

105551115012 is a wasteful number, since it uses less digits than its factorization.

105551115012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 27.

The spelling of 105551115012 in words is "one hundred five billion, five hundred fifty-one million, one hundred fifteen thousand, twelve".