100468368000 has 3072 divisors, whose sum is σ = 525447336960. Its totient is φ = 17694720000.

The previous prime is 100468367981. The next prime is 100468368019. The reversal of 100468368000 is 863864001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100468367981) and next prime (100468368019).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2450447980 + ... + 2450448020.

It is an arithmetic number, because the mean of its divisors is an integer number (171044055).

Almost surely, 2^100468368000 is an apocalyptic number.

100468368000 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 100468368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262723668480).

100468368000 is an abundant number, since it is smaller than the sum of its proper divisors (424978968960).

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

100468368000 is a wasteful number, since it uses less digits than its factorization.

100468368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 100468368000 in words is "one hundred billion, four hundred sixty-eight million, three hundred sixty-eight thousand".