105016741140 has 24 divisors (see below), whose sum is σ = 294046875360. Its totient is φ = 28004464288.

The previous prime is 105016741129. The next prime is 105016741147. The reversal of 105016741140 is 41147610501.

It is a super-2 number, since 2×105016741140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105016741098 and 105016741107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105016741147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875139450 + ... + 875139569.

It is an arithmetic number, because the mean of its divisors is an integer number (12251953140).

Almost surely, 2^105016741140 is an apocalyptic number.

105016741140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105016741140 is an abundant number, since it is smaller than the sum of its proper divisors (189030134220).

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

105016741140 is a wasteful number, since it uses less digits than its factorization.

105016741140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750279031 (or 1750279029 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 105016741140 in words is "one hundred five billion, sixteen million, seven hundred forty-one thousand, one hundred forty".