100420666416 has 240 divisors, whose sum is σ = 332258734080. Its totient is φ = 27706544640.

The previous prime is 100420666399. The next prime is 100420666441. The reversal of 100420666416 is 614666024001.

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 47 ways as a sum of consecutive naturals, for example, 15714550 + ... + 15720938.

It is an arithmetic number, because the mean of its divisors is an integer number (1384411392).

Almost surely, 2^100420666416 is an apocalyptic number.

100420666416 is a gapful number since it is divisible by the number (16) 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 100420666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166129367040).

100420666416 is an abundant number, since it is smaller than the sum of its proper divisors (231838067664).

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

100420666416 is a wasteful number, since it uses less digits than its factorization.

100420666416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 100420666416 in words is "one hundred billion, four hundred twenty million, six hundred sixty-six thousand, four hundred sixteen".