105433824242940 has 24 divisors (see below), whose sum is σ = 295214707880400. Its totient is φ = 28115686464768.

The previous prime is 105433824242819. The next prime is 105433824242947. The reversal of 105433824242940 is 49242428334501.

It is a super-2 number, since 2×105433824242940² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105433824242947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878615201965 + ... + 878615202084.

It is an arithmetic number, because the mean of its divisors is an integer number (12300612828350).

Almost surely, 2^{105433824242940} is an apocalyptic number.

105433824242940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105433824242940 is an abundant number, since it is smaller than the sum of its proper divisors (189780883637460).

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

105433824242940 is a wasteful number, since it uses less digits than its factorization.

105433824242940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757230404061 (or 1757230404059 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 105433824242940 in words is "one hundred five trillion, four hundred thirty-three billion, eight hundred twenty-four million, two hundred forty-two thousand, nine hundred forty".