100026395280 has 480 divisors, whose sum is σ = 405654512640. Its totient is φ = 21577466880.

The previous prime is 100026395269. The next prime is 100026395297. The reversal of 100026395280 is 82593620001.

100026395280 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 639 + 5 + 2 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 27098235 + ... + 27101925.

It is an arithmetic number, because the mean of its divisors is an integer number (845113568).

Almost surely, 2^100026395280 is an apocalyptic number.

100026395280 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 100026395280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202827256320).

100026395280 is an abundant number, since it is smaller than the sum of its proper divisors (305628117360).

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

100026395280 is a wasteful number, since it uses less digits than its factorization.

100026395280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100026395280 in words is "one hundred billion, twenty-six million, three hundred ninety-five thousand, two hundred eighty".