105434629792 has 24 divisors (see below), whose sum is σ = 207661104000. Its totient is φ = 52695301824.

The previous prime is 105434629789. The next prime is 105434629813. The reversal of 105434629792 is 297926434501.

It is a super-2 number, since 2×105434629792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 609942 + ... + 763477.

It is an arithmetic number, because the mean of its divisors is an integer number (8652546000).

Almost surely, 2^105434629792 is an apocalyptic number.

It is an amenable number.

105434629792 is a deficient number, since it is larger than the sum of its proper divisors (102226474208).

105434629792 is a wasteful number, since it uses less digits than its factorization.

105434629792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375828 (or 1375820 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 105434629792 in words is "one hundred five billion, four hundred thirty-four million, six hundred twenty-nine thousand, seven hundred ninety-two".