10455232004100 has 864 divisors, whose sum is σ = 37939794197760. Its totient is φ = 2385385390080.

The previous prime is 10455232004081. The next prime is 10455232004101. The reversal of 10455232004100 is 140023255401.

10455232004100 is a `hidden beast` number, since 1 + 0 + 4 + 552 + 3 + 2 + 0 + 0 + 4 + 100 = 666.

It is not an unprimeable number, because it can be changed into a prime (10455232004101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5009693257 + ... + 5009695343.

It is an arithmetic number, because the mean of its divisors is an integer number (43911798840).

Almost surely, 2^{10455232004100} is an apocalyptic number.

10455232004100 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 10455232004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969897098880).

10455232004100 is an abundant number, since it is smaller than the sum of its proper divisors (27484562193660).

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

10455232004100 is a wasteful number, since it uses less digits than its factorization.

10455232004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10455232004100 its reverse (140023255401), we get a palindrome (10595255259501).

The spelling of 10455232004100 in words is "ten trillion, four hundred fifty-five billion, two hundred thirty-two million, four thousand, one hundred".