100415798000 has 480 divisors, whose sum is σ = 299909376000. Its totient is φ = 32332608000.

The previous prime is 100415797997. The next prime is 100415798009. The reversal of 100415798000 is 897514001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100415798009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370537865 + ... + 370538135.

It is an arithmetic number, because the mean of its divisors is an integer number (624811200).

Almost surely, 2^100415798000 is an apocalyptic number.

100415798000 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 100415798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149954688000).

100415798000 is an abundant number, since it is smaller than the sum of its proper divisors (199493578000).

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

100415798000 is a wasteful number, since it uses less digits than its factorization.

100415798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 100415798000 in words is "one hundred billion, four hundred fifteen million, seven hundred ninety-eight thousand".