105119159040 has 648 divisors, whose sum is σ = 429044904288. Its totient is φ = 23688806400.

The previous prime is 105119159039. The next prime is 105119159063. The reversal of 105119159040 is 40951911501.

105119159040 is a `hidden beast` number, since 1 + 0 + 51 + 19 + 1 + 590 + 4 + 0 = 666.

It is a super-2 number, since 2×105119159040² (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 = 105119158986 and 105119159004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41205765 + ... + 41208315.

Almost surely, 2^105119159040 is an apocalyptic number.

105119159040 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 105119159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214522452144).

105119159040 is an abundant number, since it is smaller than the sum of its proper divisors (323925745248).

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

105119159040 is a wasteful number, since it uses less digits than its factorization.

105119159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 105119159040 in words is "one hundred five billion, one hundred nineteen million, one hundred fifty-nine thousand, forty".