105400080480840 has 32 divisors (see below), whose sum is σ = 316200241442880. Its totient is φ = 28106688128192.

The previous prime is 105400080480829. The next prime is 105400080480841. The reversal of 105400080480840 is 48084080004501.

It is a super-2 number, since 2×105400080480840² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105400080480792 and 105400080480801.

It is not an unprimeable number, because it can be changed into a prime (105400080480841) 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, 439167001884 + ... + 439167002123.

It is an arithmetic number, because the mean of its divisors is an integer number (9881257545090).

Almost surely, 2^{105400080480840} is an apocalyptic number.

105400080480840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105400080480840 is an abundant number, since it is smaller than the sum of its proper divisors (210800160962040).

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

105400080480840 is a wasteful number, since it uses less digits than its factorization.

105400080480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878334004021 (or 878334004017 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 105400080480840 in words is "one hundred five trillion, four hundred billion, eighty million, four hundred eighty thousand, eight hundred forty".