105035672024140 has 96 divisors (see below), whose sum is σ = 262417173903360. Its totient is φ = 34810441286400.

The previous prime is 105035672024099. The next prime is 105035672024141. The reversal of 105035672024140 is 41420276530501.

It is a super-2 number, since 2×105035672024140² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105035672024093 and 105035672024102.

It is not an unprimeable number, because it can be changed into a prime (105035672024141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232215576 + ... + 232667455.

It is an arithmetic number, because the mean of its divisors is an integer number (2733512228160).

Almost surely, 2^{105035672024140} is an apocalyptic number.

105035672024140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105035672024140 is an abundant number, since it is smaller than the sum of its proper divisors (157381501879220).

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

105035672024140 is a wasteful number, since it uses less digits than its factorization.

105035672024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464883143 (or 464883141 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 105035672024140 in words is "one hundred five trillion, thirty-five billion, six hundred seventy-two million, twenty-four thousand, one hundred forty".