104212111400 has 192 divisors, whose sum is σ = 260686998000. Its totient is φ = 38603980800.

The previous prime is 104212111397. The next prime is 104212111433. The reversal of 104212111400 is 4111212401.

It can be written as a sum of positive squares in 24 ways, for example, as 8484988996 + 95727122404 = 92114^2 + 309398^2 .

It is a super-3 number, since 3×104212111400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72925886 + ... + 72927314.

Almost surely, 2^104212111400 is an apocalyptic number.

104212111400 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 104212111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130343499000).

104212111400 is an abundant number, since it is smaller than the sum of its proper divisors (156474886600).

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

104212111400 is a wasteful number, since it uses less digits than its factorization.

104212111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 104212111400 its reverse (4111212401), we get a palindrome (108323323801).

The spelling of 104212111400 in words is "one hundred four billion, two hundred twelve million, one hundred eleven thousand, four hundred".