104011211700 has 864 divisors, whose sum is σ = 392881104000. Its totient is φ = 23402649600.

The previous prime is 104011211683. The next prime is 104011211737. The reversal of 104011211700 is 7112110401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 954231246 + ... + 954231354.

It is an arithmetic number, because the mean of its divisors is an integer number (454723500).

Almost surely, 2^104011211700 is an apocalyptic number.

104011211700 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 104011211700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196440552000).

104011211700 is an abundant number, since it is smaller than the sum of its proper divisors (288869892300).

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

104011211700 is a wasteful number, since it uses less digits than its factorization.

104011211700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The spelling of 104011211700 in words is "one hundred four billion, eleven million, two hundred eleven thousand, seven hundred".