104214140100 has 216 divisors, whose sum is σ = 375407847360. Its totient is φ = 23687043840.

The previous prime is 104214140099. The next prime is 104214140113. The reversal of 104214140100 is 1041412401.

104214140100 is a `hidden beast` number, since 1 + 0 + 421 + 4 + 140 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1081494 + ... + 1173906.

Almost surely, 2^104214140100 is an apocalyptic number.

104214140100 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 104214140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187703923680).

104214140100 is an abundant number, since it is smaller than the sum of its proper divisors (271193707260).

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

104214140100 is a wasteful number, since it uses less digits than its factorization.

104214140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92619 (or 92609 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 104214140100 its reverse (1041412401), we get a palindrome (105255552501).

The spelling of 104214140100 in words is "one hundred four billion, two hundred fourteen million, one hundred forty thousand, one hundred".