100650455321472 has 512 divisors, whose sum is σ = 355787032320000. Its totient is φ = 27980037163008.

The previous prime is 100650455321459. The next prime is 100650455321473. The reversal of 100650455321472 is 274123554056001.

100650455321472 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 0 + 4 + 553 + 21 + 4 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100650455321473) 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 63 ways as a sum of consecutive naturals, for example, 42712693 + ... + 45007499.

It is an arithmetic number, because the mean of its divisors is an integer number (694896547500).

Almost surely, 2^{100650455321472} is an apocalyptic number.

100650455321472 is a gapful number since it is divisible by the number (12) 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 100650455321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177893516160000).

100650455321472 is an abundant number, since it is smaller than the sum of its proper divisors (255136576998528).

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

100650455321472 is an equidigital number, since it uses as much as digits as its factorization.

100650455321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294888 (or 2294856 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 100650455321472 in words is "one hundred trillion, six hundred fifty billion, four hundred fifty-five million, three hundred twenty-one thousand, four hundred seventy-two".