100923451200 has 2016 divisors, whose sum is σ = 472885983360. Its totient is φ = 20570112000.

The previous prime is 100923451159. The next prime is 100923451207. The reversal of 100923451200 is 2154329001.

100923451200 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 3 + 451 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100923451207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3255595185 + ... + 3255595215.

It is an arithmetic number, because the mean of its divisors is an integer number (234566460).

Almost surely, 2^100923451200 is an apocalyptic number.

100923451200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100923451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236442991680).

100923451200 is an abundant number, since it is smaller than the sum of its proper divisors (371962532160).

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

100923451200 is a wasteful number, since it uses less digits than its factorization.

100923451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100923451200 in words is "one hundred billion, nine hundred twenty-three million, four hundred fifty-one thousand, two hundred".