100389745962 has 384 divisors, whose sum is σ = 263098368000. Its totient is φ = 27589161600.

The previous prime is 100389745921. The next prime is 100389745987. The reversal of 100389745962 is 269547983001.

100389745962 is a `hidden beast` number, since 10 + 0 + 38 + 9 + 7 + 4 + 596 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100389745899 and 100389745908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1270756239 + ... + 1270756317.

It is an arithmetic number, because the mean of its divisors is an integer number (685152000).

It is a 1-persistent number, because it is pandigital, but 2⋅100389745962 = 200779491924 is not.

Almost surely, 2^100389745962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100389745962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131549184000).

100389745962 is an abundant number, since it is smaller than the sum of its proper divisors (162708622038).

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

100389745962 is a wasteful number, since it uses less digits than its factorization.

100389745962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 100389745962 in words is "one hundred billion, three hundred eighty-nine million, seven hundred forty-five thousand, nine hundred sixty-two".