100050236159040 has 672 divisors, whose sum is σ = 351746536901760. Its totient is φ = 26094596456448.

The previous prime is 100050236158997. The next prime is 100050236159113. The reversal of 100050236159040 is 40951632050001.

100050236159040 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 2 + 3 + 61 + 590 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100050236158986 and 100050236159004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35316001464 + ... + 35316004296.

It is an arithmetic number, because the mean of its divisors is an integer number (523432346580).

Almost surely, 2^{100050236159040} is an apocalyptic number.

100050236159040 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 100050236159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175873268450880).

100050236159040 is an abundant number, since it is smaller than the sum of its proper divisors (251696300742720).

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

100050236159040 is a wasteful number, since it uses less digits than its factorization.

100050236159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 100050236159040 in words is "one hundred trillion, fifty billion, two hundred thirty-six million, one hundred fifty-nine thousand, forty".