100276567440 has 120 divisors (see below), whose sum is σ = 361609623360. Its totient is φ = 22920355584.

The previous prime is 100276567427. The next prime is 100276567477. The reversal of 100276567440 is 44765672001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 100276567392 and 100276567401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4251700 + ... + 4275219.

It is an arithmetic number, because the mean of its divisors is an integer number (3013413528).

Almost surely, 2^100276567440 is an apocalyptic number.

100276567440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100276567440 is an abundant number, since it is smaller than the sum of its proper divisors (261333055920).

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

100276567440 is a wasteful number, since it uses less digits than its factorization.

100276567440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526949 (or 8526936 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 100276567440 in words is "one hundred billion, two hundred seventy-six million, five hundred sixty-seven thousand, four hundred forty".