105611940000 has 720 divisors, whose sum is σ = 434749835520. Its totient is φ = 23811840000.

The previous prime is 105611939947. The next prime is 105611940013. The reversal of 105611940000 is 49116501.

105611940000 is a `hidden beast` number, since 1 + 0 + 5 + 611 + 9 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105611940000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99539470 + ... + 99540530.

It is an arithmetic number, because the mean of its divisors is an integer number (603819216).

Almost surely, 2^105611940000 is an apocalyptic number.

105611940000 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 105611940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217374917760).

105611940000 is an abundant number, since it is smaller than the sum of its proper divisors (329137895520).

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

105611940000 is a wasteful number, since it uses less digits than its factorization.

105611940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 105611940000 in words is "one hundred five billion, six hundred eleven million, nine hundred forty thousand".