105005055402 has 64 divisors (see below), whose sum is σ = 251335392000. Its totient is φ = 32303945664.

The previous prime is 105005055307. The next prime is 105005055409. The reversal of 105005055402 is 204550500501.

105005055402 is a `hidden beast` number, since 10 + 50 + 0 + 50 + 554 + 0 + 2 = 666.

It is a super-2 number, since 2×105005055402² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105005055409) 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, 7883124 + ... + 7896432.

It is an arithmetic number, because the mean of its divisors is an integer number (3927115500).

Almost surely, 2^105005055402 is an apocalyptic number.

105005055402 is an abundant number, since it is smaller than the sum of its proper divisors (146330336598).

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

105005055402 is a wasteful number, since it uses less digits than its factorization.

105005055402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24572 (or 24566 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

Adding to 105005055402 its reverse (204550500501), we get a palindrome (309555555903).

The spelling of 105005055402 in words is "one hundred five billion, five million, fifty-five thousand, four hundred two".