105160890240 has 384 divisors, whose sum is σ = 439425155520. Its totient is φ = 22622699520.

The previous prime is 105160890217. The next prime is 105160890259. The reversal of 105160890240 is 42098061501.

105160890240 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 608 + 9 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105160890240² (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 a junction number, because it is equal to n+sod(n) for n = 105160890195 and 105160890204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608730 + ... + 762150.

Almost surely, 2^105160890240 is an apocalyptic number.

105160890240 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 105160890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219712577760).

105160890240 is an abundant number, since it is smaller than the sum of its proper divisors (334264265280).

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

105160890240 is a wasteful number, since it uses less digits than its factorization.

105160890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153470 (or 153455 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 105160890240 in words is "one hundred five billion, one hundred sixty million, eight hundred ninety thousand, two hundred forty".