100650988800 has 1080 divisors, whose sum is σ = 404083886976. Its totient is φ = 24723947520.

The previous prime is 100650988793. The next prime is 100650988807. The reversal of 100650988800 is 8889056001.

It is an interprime number because it is at equal distance from previous prime (100650988793) and next prime (100650988807).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100650988807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2141510377 + ... + 2141510423.

Almost surely, 2^100650988800 is an apocalyptic number.

100650988800 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 100650988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202041943488).

100650988800 is an abundant number, since it is smaller than the sum of its proper divisors (303432898176).

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

100650988800 is an frugal number, since it uses more digits than its factorization.

100650988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 100650988800 in words is "one hundred billion, six hundred fifty million, nine hundred eighty-eight thousand, eight hundred".