101404000116 has 144 divisors (see below), whose sum is σ = 271867849344. Its totient is φ = 33040659456.

The previous prime is 101404000109. The next prime is 101404000249. The reversal of 101404000116 is 611000404101.

101404000116 is a `hidden beast` number, since 10 + 140 + 400 + 0 + 116 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8011705 + ... + 8024351.

It is an arithmetic number, because the mean of its divisors is an integer number (1887971176).

Almost surely, 2^101404000116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101404000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135933924672).

101404000116 is an abundant number, since it is smaller than the sum of its proper divisors (170463849228).

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

101404000116 is a wasteful number, since it uses less digits than its factorization.

101404000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101404000116 its reverse (611000404101), we get a palindrome (712404404217).

The spelling of 101404000116 in words is "one hundred one billion, four hundred four million, one hundred sixteen", and thus it is an aban number.