100145258816 has 56 divisors (see below), whose sum is σ = 203234787840. Its totient is φ = 48949056000.

The previous prime is 100145258797. The next prime is 100145258821. The reversal of 100145258816 is 618852541001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412601 + ... + 608711.

It is an arithmetic number, because the mean of its divisors is an integer number (3629192640).

Almost surely, 2^100145258816 is an apocalyptic number.

100145258816 is a gapful number since it is divisible by the number (16) 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 100145258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101617393920).

100145258816 is an abundant number, since it is smaller than the sum of its proper divisors (103089529024).

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

100145258816 is a wasteful number, since it uses less digits than its factorization.

100145258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196303 (or 196293 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

Adding to 100145258816 its reverse (618852541001), we get a palindrome (718997799817).

The spelling of 100145258816 in words is "one hundred billion, one hundred forty-five million, two hundred fifty-eight thousand, eight hundred sixteen".