100224029840 has 40 divisors (see below), whose sum is σ = 254204587008. Its totient is φ = 36445101440.

The previous prime is 100224029833. The next prime is 100224029903. The reversal of 100224029840 is 48920422001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 100224029797 and 100224029806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56944592 + ... + 56946351.

Almost surely, 2^100224029840 is an apocalyptic number.

100224029840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100224029840 is an abundant number, since it is smaller than the sum of its proper divisors (153980557168).

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

100224029840 is a wasteful number, since it uses less digits than its factorization.

100224029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113890967 (or 113890961 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 100224029840 in words is "one hundred billion, two hundred twenty-four million, twenty-nine thousand, eight hundred forty".