100455261440 has 36 divisors (see below), whose sum is σ = 240621746484. Its totient is φ = 40182104064.

The previous prime is 100455261419. The next prime is 100455261499. The reversal of 100455261440 is 44162554001.

100455261440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56059085824 + 44396175616 = 236768^2 + 210704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 100455261397 and 100455261406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39239057 + ... + 39241616.

Almost surely, 2^100455261440 is an apocalyptic number.

100455261440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100455261440 is an abundant number, since it is smaller than the sum of its proper divisors (140166485044).

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

100455261440 is an frugal number, since it uses more digits than its factorization.

100455261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78480694 (or 78480680 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 100455261440 in words is "one hundred billion, four hundred fifty-five million, two hundred sixty-one thousand, four hundred forty".