100540024000 has 224 divisors, whose sum is σ = 268769592000. Its totient is φ = 37035417600.

The previous prime is 100540023979. The next prime is 100540024063. The reversal of 100540024000 is 420045001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59175151 + ... + 59176849.

It is an arithmetic number, because the mean of its divisors is an integer number (1199864250).

Almost surely, 2^100540024000 is an apocalyptic number.

100540024000 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 100540024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134384796000).

100540024000 is an abundant number, since it is smaller than the sum of its proper divisors (168229568000).

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

100540024000 is a wasteful number, since it uses less digits than its factorization.

100540024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 100540024000 its reverse (420045001), we get a palindrome (100960069001).

The spelling of 100540024000 in words is "one hundred billion, five hundred forty million, twenty-four thousand".