100430405064 has 448 divisors, whose sum is σ = 327454056000. Its totient is φ = 28570268160.

The previous prime is 100430405021. The next prime is 100430405069. The reversal of 100430405064 is 460504034001.

It is a super-2 number, since 2×100430405064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100430405069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68834367 + ... + 68835825.

Almost surely, 2^100430405064 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 100430405064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163727028000).

100430405064 is an abundant number, since it is smaller than the sum of its proper divisors (227023650936).

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

100430405064 is a wasteful number, since it uses less digits than its factorization.

100430405064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100430405064 its reverse (460504034001), we get a palindrome (560934439065).

The spelling of 100430405064 in words is "one hundred billion, four hundred thirty million, four hundred five thousand, sixty-four".