100414060560 has 600 divisors, whose sum is σ = 397867909824. Its totient is φ = 23275676160.

The previous prime is 100414060559. The next prime is 100414060561. The reversal of 100414060560 is 65060414001.

100414060560 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 40 + 60 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (100414060559) and next prime (100414060561).

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

It is not an unprimeable number, because it can be changed into a prime (100414060561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37705789 + ... + 37708451.

Almost surely, 2^100414060560 is an apocalyptic number.

100414060560 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 100414060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198933954912).

100414060560 is an abundant number, since it is smaller than the sum of its proper divisors (297453849264).

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

100414060560 is a wasteful number, since it uses less digits than its factorization.

100414060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100414060560 its reverse (65060414001), we get a palindrome (165474474561).

The spelling of 100414060560 in words is "one hundred billion, four hundred fourteen million, sixty thousand, five hundred sixty".