242105400108 has 216 divisors, whose sum is σ = 765459008496. Its totient is φ = 63737856000.

The previous prime is 242105400083. The next prime is 242105400143. The reversal of 242105400108 is 801004501242.

242105400108 is a `hidden beast` number, since 2 + 4 + 2 + 10 + 540 + 0 + 108 = 666.

It is a super-2 number, since 2×242105400108² (a number of 24 digits) contains 22 as substring.

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, 1031308 + ... + 1244108.

It is an arithmetic number, because the mean of its divisors is an integer number (3543791706).

Almost surely, 2^242105400108 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 242105400108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382729504248).

242105400108 is an abundant number, since it is smaller than the sum of its proper divisors (523353608388).

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

242105400108 is a wasteful number, since it uses less digits than its factorization.

242105400108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212865 (or 212847 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 242105400108 in words is "two hundred forty-two billion, one hundred five million, four hundred thousand, one hundred eight".