100279347840 has 320 divisors, whose sum is σ = 409276517760. Its totient is φ = 22920910848.

The previous prime is 100279347799. The next prime is 100279347859. The reversal of 100279347840 is 48743972001.

100279347840 is a `hidden beast` number, since 100 + 2 + 79 + 3 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 224709 + ... + 501051.

It is an arithmetic number, because the mean of its divisors is an integer number (1278989118).

Almost surely, 2^100279347840 is an apocalyptic number.

100279347840 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 100279347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204638258880).

100279347840 is an abundant number, since it is smaller than the sum of its proper divisors (308997169920).

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

100279347840 is an equidigital number, since it uses as much as digits as its factorization.

100279347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276381 (or 276360 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 100279347840 in words is "one hundred billion, two hundred seventy-nine million, three hundred forty-seven thousand, eight hundred forty".