100145000032 has 192 divisors, whose sum is σ = 257911492608. Its totient is φ = 37138176000.

The previous prime is 100145000017. The next prime is 100145000041. The reversal of 100145000032 is 230000541001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4648678 + ... + 4670170.

It is an arithmetic number, because the mean of its divisors is an integer number (1343289024).

Almost surely, 2^100145000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100145000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128955746304).

100145000032 is an abundant number, since it is smaller than the sum of its proper divisors (157766492576).

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

100145000032 is a wasteful number, since it uses less digits than its factorization.

100145000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 100145000032 its reverse (230000541001), we get a palindrome (330145541033).

The spelling of 100145000032 in words is "one hundred billion, one hundred forty-five million, thirty-two", and thus it is an aban number.