100098154932048 has 1440 divisors, whose sum is σ = 375745201767936. Its totient is φ = 24202254311424.

The previous prime is 100098154932023. The next prime is 100098154932059. The reversal of 100098154932048 is 840239451890001.

It is a happy number.

100098154932048 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 98 + 1 + 5 + 493 + 20 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100098154931985 and 100098154932003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34480933765 + ... + 34480936667.

Almost surely, 2^{100098154932048} is an apocalyptic number.

100098154932048 is a gapful number since it is divisible by the number (18) 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 100098154932048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187872600883968).

100098154932048 is an abundant number, since it is smaller than the sum of its proper divisors (275647046835888).

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

100098154932048 is a wasteful number, since it uses less digits than its factorization.

100098154932048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 100098154932048 in words is "one hundred trillion, ninety-eight billion, one hundred fifty-four million, nine hundred thirty-two thousand, forty-eight".