100045346400 has 576 divisors, whose sum is σ = 373369227840. Its totient is φ = 25837977600.

The previous prime is 100045346369. The next prime is 100045346407. The reversal of 100045346400 is 4643540001.

100045346400 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 5 + 3 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100045346407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153208474 + ... + 153209126.

It is an arithmetic number, because the mean of its divisors is an integer number (648210465).

Almost surely, 2^100045346400 is an apocalyptic number.

100045346400 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 100045346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186684613920).

100045346400 is an abundant number, since it is smaller than the sum of its proper divisors (273323881440).

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

100045346400 is a wasteful number, since it uses less digits than its factorization.

100045346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100045346400 its reverse (4643540001), we get a palindrome (104688886401).

The spelling of 100045346400 in words is "one hundred billion, forty-five million, three hundred forty-six thousand, four hundred".