100059241401360 has 960 divisors, whose sum is σ = 371676787163136. Its totient is φ = 24977146521600.

The previous prime is 100059241401337. The next prime is 100059241401409. The reversal of 100059241401360 is 63104142950001.

It is a happy number.

100059241401360 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 9 + 241 + 401 + 3 + 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 191 ways as a sum of consecutive naturals, for example, 2267712259 + ... + 2267756381.

Almost surely, 2^{100059241401360} is an apocalyptic number.

100059241401360 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 100059241401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185838393581568).

100059241401360 is an abundant number, since it is smaller than the sum of its proper divisors (271617545761776).

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

100059241401360 is a wasteful number, since it uses less digits than its factorization.

100059241401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44306 (or 44288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100059241401360 in words is "one hundred trillion, fifty-nine billion, two hundred forty-one million, four hundred one thousand, three hundred sixty".