100364412420 has 120 divisors (see below), whose sum is σ = 316165449600. Its totient is φ = 26651757888.

The previous prime is 100364412409. The next prime is 100364412451. The reversal of 100364412420 is 24214463001.

It is a happy number.

100364412420 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 644 + 12 + 4 + 2 + 0 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 257571 + ... + 516789.

It is an arithmetic number, because the mean of its divisors is an integer number (2634712080).

Almost surely, 2^100364412420 is an apocalyptic number.

100364412420 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 100364412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158082724800).

100364412420 is an abundant number, since it is smaller than the sum of its proper divisors (215801037180).

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

100364412420 is a wasteful number, since it uses less digits than its factorization.

100364412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259479 (or 259468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100364412420 its reverse (24214463001), we get a palindrome (124578875421).

It can be divided in two parts, 1003644 and 12420, that added together give a square (1016064 = 1008²).

The spelling of 100364412420 in words is "one hundred billion, three hundred sixty-four million, four hundred twelve thousand, four hundred twenty".