105863649840 has 960 divisors, whose sum is σ = 431380639872. Its totient is φ = 23887872000.

The previous prime is 105863649833. The next prime is 105863649887. The reversal of 105863649840 is 48946368501.

105863649840 is a `hidden beast` number, since 1 + 0 + 5 + 86 + 36 + 498 + 40 = 666.

It is a super-2 number, since 2×105863649840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176145540 + ... + 176146140.

Almost surely, 2^105863649840 is an apocalyptic number.

105863649840 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 105863649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215690319936).

105863649840 is an abundant number, since it is smaller than the sum of its proper divisors (325516990032).

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

105863649840 is a wasteful number, since it uses less digits than its factorization.

105863649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 105863649840 in words is "one hundred five billion, eight hundred sixty-three million, six hundred forty-nine thousand, eight hundred forty".