100065074416200 has 288 divisors, whose sum is σ = 351351824990400. Its totient is φ = 25473694625280.

The previous prime is 100065074416189. The next prime is 100065074416217. The reversal of 100065074416200 is 2614470560001.

100065074416200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 5 + 0 + 7 + 441 + 6 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18698307 + ... + 23446893.

It is an arithmetic number, because the mean of its divisors is an integer number (1219971614550).

Almost surely, 2^{100065074416200} is an apocalyptic number.

100065074416200 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 100065074416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175675912495200).

100065074416200 is an abundant number, since it is smaller than the sum of its proper divisors (251286750574200).

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

100065074416200 is a wasteful number, since it uses less digits than its factorization.

100065074416200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749141 (or 4749129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100065074416200 in words is "one hundred trillion, sixty-five billion, seventy-four million, four hundred sixteen thousand, two hundred".