100613298060 has 864 divisors, whose sum is σ = 380999324160. Its totient is φ = 21389702400.

The previous prime is 100613298053. The next prime is 100613298073. The reversal of 100613298060 is 60892316001.

100613298060 is a `hidden beast` number, since 10 + 0 + 613 + 29 + 8 + 0 + 6 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3245590245 + ... + 3245590275.

It is an arithmetic number, because the mean of its divisors is an integer number (440971440).

Almost surely, 2^100613298060 is an apocalyptic number.

100613298060 is a gapful number since it is divisible by the number (10) 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 100613298060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190499662080).

100613298060 is an abundant number, since it is smaller than the sum of its proper divisors (280386026100).

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

100613298060 is a wasteful number, since it uses less digits than its factorization.

100613298060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 100613298060 in words is "one hundred billion, six hundred thirteen million, two hundred ninety-eight thousand, sixty".