100018516752 has 480 divisors, whose sum is σ = 355241263104. Its totient is φ = 25730369280.

The previous prime is 100018516727. The next prime is 100018516769. The reversal of 100018516752 is 257615810001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170389003 + ... + 170389589.

Almost surely, 2^100018516752 is an apocalyptic number.

100018516752 is a gapful number since it is divisible by the number (12) 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 100018516752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177620631552).

100018516752 is an abundant number, since it is smaller than the sum of its proper divisors (255222746352).

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

100018516752 is a wasteful number, since it uses less digits than its factorization.

100018516752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 100018516752 in words is "one hundred billion, eighteen million, five hundred sixteen thousand, seven hundred fifty-two".