129976748100 has 108 divisors (see below), whose sum is σ = 411982732980. Its totient is φ = 34271001600.

The previous prime is 129976748087. The next prime is 129976748107. The reversal of 129976748100 is 1847679921.

129976748100 is a `hidden beast` number, since 1 + 2 + 99 + 76 + 7 + 481 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21594890304 + 108381857796 = 146952^2 + 329214^2 .

It is a super-2 number, since 2×129976748100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129976748107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 731241 + ... + 891440.

It is an arithmetic number, because the mean of its divisors is an integer number (3814654935).

Almost surely, 2^129976748100 is an apocalyptic number.

129976748100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129976748100 is an abundant number, since it is smaller than the sum of its proper divisors (282005984880).

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

129976748100 is a wasteful number, since it uses less digits than its factorization.

129976748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622790 (or 1622780 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 129976748100 in words is "one hundred twenty-nine billion, nine hundred seventy-six million, seven hundred forty-eight thousand, one hundred".