105442365140 has 48 divisors (see below), whose sum is σ = 253094188032. Its totient is φ = 36147023616.

The previous prime is 105442365137. The next prime is 105442365167. The reversal of 105442365140 is 41563244501.

It is a super-2 number, since 2×105442365140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105442365140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151069 + ... + 1239291.

It is an arithmetic number, because the mean of its divisors is an integer number (5272795584).

Almost surely, 2^105442365140 is an apocalyptic number.

105442365140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105442365140 is an abundant number, since it is smaller than the sum of its proper divisors (147651822892).

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

105442365140 is a wasteful number, since it uses less digits than its factorization.

105442365140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96776 (or 96774 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 105442365140 in words is "one hundred five billion, four hundred forty-two million, three hundred sixty-five thousand, one hundred forty".