100515810672 has 120 divisors (see below), whose sum is σ = 286240808880. Its totient is φ = 32918016000.

The previous prime is 100515810589. The next prime is 100515810679. The reversal of 100515810672 is 276018515001.

100515810672 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 581 + 0 + 6 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100515810679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25120672 + ... + 25124672.

It is an arithmetic number, because the mean of its divisors is an integer number (2385340074).

Almost surely, 2^100515810672 is an apocalyptic number.

100515810672 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 100515810672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143120404440).

100515810672 is an abundant number, since it is smaller than the sum of its proper divisors (185724998208).

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

100515810672 is a wasteful number, since it uses less digits than its factorization.

100515810672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7022 counting only the distinct ones).

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

The spelling of 100515810672 in words is "one hundred billion, five hundred fifteen million, eight hundred ten thousand, six hundred seventy-two".