100148400000 has 960 divisors, whose sum is σ = 407838427920. Its totient is φ = 24192000000.

The previous prime is 100148399971. The next prime is 100148400029. The reversal of 100148400000 is 4841001.

It is an interprime number because it is at equal distance from previous prime (100148399971) and next prime (100148400029).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 356399860 + ... + 356400140.

Almost surely, 2^100148400000 is an apocalyptic number.

100148400000 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 100148400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203919213960).

100148400000 is an abundant number, since it is smaller than the sum of its proper divisors (307690027920).

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

100148400000 is an frugal number, since it uses more digits than its factorization.

100148400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 100148400000 in words is "one hundred billion, one hundred forty-eight million, four hundred thousand".