100416552000 has 224 divisors, whose sum is σ = 351081319680. Its totient is φ = 25202483200.

The previous prime is 100416551999. The next prime is 100416552007. The reversal of 100416552000 is 255614001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100416552007) 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 31 ways as a sum of consecutive naturals, for example, 284941 + ... + 531059.

It is an arithmetic number, because the mean of its divisors is an integer number (1567327320).

Almost surely, 2^100416552000 is an apocalyptic number.

100416552000 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 100416552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175540659840).

100416552000 is an abundant number, since it is smaller than the sum of its proper divisors (250664767680).

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

100416552000 is a wasteful number, since it uses less digits than its factorization.

100416552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246166 (or 246146 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 100416552000 in words is "one hundred billion, four hundred sixteen million, five hundred fifty-two thousand".