100434661544 has 64 divisors (see below), whose sum is σ = 221107286400. Its totient is φ = 41866170624.

The previous prime is 100434661493. The next prime is 100434661577. The reversal of 100434661544 is 445166434001.

It is a junction number, because it is equal to n+sod(n) for n = 100434661498 and 100434661507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8288162 + ... + 8300270.

It is an arithmetic number, because the mean of its divisors is an integer number (3454801350).

Almost surely, 2^100434661544 is an apocalyptic number.

100434661544 is a gapful number since it is divisible by the number (14) 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 100434661544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110553643200).

100434661544 is an abundant number, since it is smaller than the sum of its proper divisors (120672624856).

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

100434661544 is a wasteful number, since it uses less digits than its factorization.

100434661544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16162 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 100434661544 in words is "one hundred billion, four hundred thirty-four million, six hundred sixty-one thousand, five hundred forty-four".