105156129096 has 96 divisors (see below), whose sum is σ = 295426491360. Its totient is φ = 35042481792.

The previous prime is 105156129077. The next prime is 105156129097. The reversal of 105156129096 is 690921651501.

It is a happy number.

105156129096 is a `hidden beast` number, since 1 + 0 + 515 + 6 + 129 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×105156129096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105156129097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13201611 + ... + 13209573.

It is an arithmetic number, because the mean of its divisors is an integer number (3077359285).

Almost surely, 2^105156129096 is an apocalyptic number.

It is an amenable number.

105156129096 is an abundant number, since it is smaller than the sum of its proper divisors (190270362264).

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

105156129096 is an equidigital number, since it uses as much as digits as its factorization.

105156129096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14777 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 105156129096 in words is "one hundred five billion, one hundred fifty-six million, one hundred twenty-nine thousand, ninety-six".