105017459040 has 960 divisors, whose sum is σ = 427290982272. Its totient is φ = 24086937600.

The previous prime is 105017459033. The next prime is 105017459069. The reversal of 105017459040 is 40954710501.

105017459040 is a `hidden beast` number, since 1 + 0 + 50 + 17 + 4 + 590 + 4 + 0 = 666.

It is a super-2 number, since 2×105017459040² (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 = 105017458986 and 105017459004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158876310 + ... + 158876970.

Almost surely, 2^105017459040 is an apocalyptic number.

105017459040 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 105017459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213645491136).

105017459040 is an abundant number, since it is smaller than the sum of its proper divisors (322273523232).

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

105017459040 is a wasteful number, since it uses less digits than its factorization.

105017459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 105017459040 in words is "one hundred five billion, seventeen million, four hundred fifty-nine thousand, forty".