105202053440 has 56 divisors (see below), whose sum is σ = 273286252512. Its totient is φ = 38255290880.

The previous prime is 105202053433. The next prime is 105202053443. The reversal of 105202053440 is 44350202501.

It is a happy number.

It is a super-2 number, since 2×105202053440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202053443) 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, 14939954 + ... + 14946993.

It is an arithmetic number, because the mean of its divisors is an integer number (4880111652).

Almost surely, 2^105202053440 is an apocalyptic number.

105202053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105202053440 is an abundant number, since it is smaller than the sum of its proper divisors (168084199072).

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

105202053440 is a wasteful number, since it uses less digits than its factorization.

105202053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29886975 (or 29886965 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 105202053440 its reverse (44350202501), we get a palindrome (149552255941).

The spelling of 105202053440 in words is "one hundred five billion, two hundred two million, fifty-three thousand, four hundred forty".