100663464000 has 224 divisors, whose sum is σ = 362609050752. Its totient is φ = 24403200000.

The previous prime is 100663463993. The next prime is 100663464023. The reversal of 100663464000 is 464366001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73350 + ... + 454650.

Almost surely, 2^100663464000 is an apocalyptic number.

100663464000 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 100663464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181304525376).

100663464000 is an abundant number, since it is smaller than the sum of its proper divisors (261945586752).

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

100663464000 is a wasteful number, since it uses less digits than its factorization.

100663464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381342 (or 381322 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 100663464000 in words is "one hundred billion, six hundred sixty-three million, four hundred sixty-four thousand".