260105400 has 144 divisors (see below), whose sum is σ = 884552760. Its totient is φ = 68486400.

The previous prime is 260105393. The next prime is 260105429. The reversal of 260105400 is 4501062.

It is a happy number.

260105400 is a `hidden beast` number, since 260 + 1 + 0 + 5 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148530 + ... + 150270.

Almost surely, 2^260105400 is an apocalyptic number.

260105400 is a gapful number since it is divisible by the number (20) 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 260105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442276380).

260105400 is an abundant number, since it is smaller than the sum of its proper divisors (624447360).

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

260105400 is a wasteful number, since it uses less digits than its factorization.

260105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 260105400 is about 16127.7834806895. The cubic root of 260105400 is about 638.3366638694.

Adding to 260105400 its reverse (4501062), we get a palindrome (264606462).

The spelling of 260105400 in words is "two hundred sixty million, one hundred five thousand, four hundred".