105019139111040 has 1152 divisors, whose sum is σ = 469993739454720. Its totient is φ = 21357827850240.

The previous prime is 105019139111009. The next prime is 105019139111057. The reversal of 105019139111040 is 40111931910501.

105019139111040 is a `hidden beast` number, since 1 + 0 + 501 + 9 + 1 + 39 + 1 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105019139111040² (a number of 29 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 = 105019139110986 and 105019139111004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145558224 + ... + 146277936.

It is an arithmetic number, because the mean of its divisors is an integer number (407980676610).

Almost surely, 2^{105019139111040} is an apocalyptic number.

105019139111040 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 105019139111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234996869727360).

105019139111040 is an abundant number, since it is smaller than the sum of its proper divisors (364974600343680).

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

105019139111040 is a wasteful number, since it uses less digits than its factorization.

105019139111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719810 (or 719788 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 36.

The spelling of 105019139111040 in words is "one hundred five trillion, nineteen billion, one hundred thirty-nine million, one hundred eleven thousand, forty".