104601950211000 has 256 divisors, whose sum is σ = 356431217425920. Its totient is φ = 25329258240000.

The previous prime is 104601950210983. The next prime is 104601950211019. The reversal of 104601950211000 is 112059106401.

It is a super-3 number, since 3×104601950211000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27274047 + ... + 30871953.

It is an arithmetic number, because the mean of its divisors is an integer number (1392309443070).

Almost surely, 2^{104601950211000} is an apocalyptic number.

104601950211000 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 104601950211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178215608712960).

104601950211000 is an abundant number, since it is smaller than the sum of its proper divisors (251829267214920).

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

104601950211000 is a wasteful number, since it uses less digits than its factorization.

104601950211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598823 (or 3598809 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 104601950211000 in words is "one hundred four trillion, six hundred one billion, nine hundred fifty million, two hundred eleven thousand".