100114735104 has 420 divisors, whose sum is σ = 311017722642. Its totient is φ = 32089374720.

The previous prime is 100114735099. The next prime is 100114735211. The reversal of 100114735104 is 401537411001.

100114735104 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 147 + 3 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92143816704 + 7970918400 = 303552^2 + 89280^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 637673394 + ... + 637673550.

Almost surely, 2^100114735104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100114735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155508861321).

100114735104 is an abundant number, since it is smaller than the sum of its proper divisors (210902987538).

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

100114735104 is an frugal number, since it uses more digits than its factorization.

100114735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 100114735104 in words is "one hundred billion, one hundred fourteen million, seven hundred thirty-five thousand, one hundred four".