105270399440 has 40 divisors (see below), whose sum is σ = 244989438720. Its totient is φ = 42067598976.

The previous prime is 105270399427. The next prime is 105270399457. The reversal of 105270399440 is 44993072501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105270399440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105270399391 and 105270399400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550124 + ... + 716363.

It is an arithmetic number, because the mean of its divisors is an integer number (6124735968).

Almost surely, 2^105270399440 is an apocalyptic number.

105270399440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105270399440 is an abundant number, since it is smaller than the sum of its proper divisors (139719039280).

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

105270399440 is a wasteful number, since it uses less digits than its factorization.

105270399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267539 (or 1267533 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 105270399440 in words is "one hundred five billion, two hundred seventy million, three hundred ninety-nine thousand, four hundred forty".