105402303540 has 144 divisors (see below), whose sum is σ = 346086135360. Its totient is φ = 26627901120.

The previous prime is 105402303509. The next prime is 105402303563. The reversal of 105402303540 is 45303204501.

It is a super-2 number, since 2×105402303540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75406 + ... + 465285.

It is an arithmetic number, because the mean of its divisors is an integer number (2403375940).

Almost surely, 2^105402303540 is an apocalyptic number.

105402303540 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 105402303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173043067680).

105402303540 is an abundant number, since it is smaller than the sum of its proper divisors (240683831820).

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

105402303540 is a wasteful number, since it uses less digits than its factorization.

105402303540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540747 (or 540720 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 105402303540 in words is "one hundred five billion, four hundred two million, three hundred three thousand, five hundred forty".