105587006112 has 768 divisors, whose sum is σ = 385968844800. Its totient is φ = 27411333120.

The previous prime is 105587006081. The next prime is 105587006141. The reversal of 105587006112 is 211600785501.

105587006112 is a `hidden beast` number, since 1 + 0 + 5 + 587 + 0 + 0 + 61 + 12 = 666.

It is a super-2 number, since 2×105587006112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 343931463 + ... + 343931769.

It is an arithmetic number, because the mean of its divisors is an integer number (502563600).

Almost surely, 2^105587006112 is an apocalyptic number.

105587006112 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 105587006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192984422400).

105587006112 is an abundant number, since it is smaller than the sum of its proper divisors (280381838688).

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

105587006112 is a wasteful number, since it uses less digits than its factorization.

105587006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 105587006112 in words is "one hundred five billion, five hundred eighty-seven million, six thousand, one hundred twelve".