105001434 has 40 divisors (see below), whose sum is σ = 237024480. Its totient is φ = 34741224.

The previous prime is 105001423. The next prime is 105001447. The reversal of 105001434 is 434100501.

It is a happy number.

It is a super-2 number, since 2×105001434² = 22050602284112712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20187 + ... + 24849.

It is an arithmetic number, because the mean of its divisors is an integer number (5925612).

Almost surely, 2^105001434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105001434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118512240).

105001434 is an abundant number, since it is smaller than the sum of its proper divisors (132023046).

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

105001434 is a wasteful number, since it uses less digits than its factorization.

105001434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105001434 is about 10247.0207377559. The cubic root of 105001434 is about 471.7715456959.

Adding to 105001434 its reverse (434100501), we get a palindrome (539101935).

The spelling of 105001434 in words is "one hundred five million, one thousand, four hundred thirty-four".