100434102560 has 192 divisors, whose sum is σ = 267878596608. Its totient is φ = 35253120000.

The previous prime is 100434102541. The next prime is 100434102563. The reversal of 100434102560 is 65201434001.

It is not an unprimeable number, because it can be changed into a prime (100434102563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23513225 + ... + 23517495.

It is an arithmetic number, because the mean of its divisors is an integer number (1395201024).

Almost surely, 2^100434102560 is an apocalyptic number.

100434102560 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 100434102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939298304).

100434102560 is an abundant number, since it is smaller than the sum of its proper divisors (167444494048).

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

100434102560 is a wasteful number, since it uses less digits than its factorization.

100434102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 100434102560 its reverse (65201434001), we get a palindrome (165635536561).

The spelling of 100434102560 in words is "one hundred billion, four hundred thirty-four million, one hundred two thousand, five hundred sixty".