105431840 has 48 divisors (see below), whose sum is σ = 253802808. Its totient is φ = 41373696.

The previous prime is 105431831. The next prime is 105431861. The reversal of 105431840 is 48134501.

It can be written as a sum of positive squares in 4 ways, for example, as 75968656 + 29463184 = 8716^2 + 5428^2 .

It is a super-2 number, since 2×105431840² = 22231745771571200, which contains 22 as substring.

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, 2264 + ... + 14696.

Almost surely, 2^105431840 is an apocalyptic number.

105431840 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 105431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126901404).

105431840 is an abundant number, since it is smaller than the sum of its proper divisors (148370968).

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

105431840 is a wasteful number, since it uses less digits than its factorization.

105431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105431840 is about 10268.0007791196. Note that the first 3 decimals coincide. The cubic root of 105431840 is about 472.4152718002.

The spelling of 105431840 in words is "one hundred five million, four hundred thirty-one thousand, eight hundred forty".