105402840 has 64 divisors (see below), whose sum is σ = 316884960. Its totient is φ = 28047360.

The previous prime is 105402797. The next prime is 105402853. The reversal of 105402840 is 48204501.

It is a super-2 number, since 2×105402840² = 22219517360131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105402840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105222 + ... + 106218.

Almost surely, 2^105402840 is an apocalyptic number.

105402840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105402840 is an abundant number, since it is smaller than the sum of its proper divisors (211482120).

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

105402840 is a wasteful number, since it uses less digits than its factorization.

105402840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105402840 is about 10266.5885278412. The cubic root of 105402840 is about 472.3719537691.

The spelling of 105402840 in words is "one hundred five million, four hundred two thousand, eight hundred forty".