101416434616 has 64 divisors (see below), whose sum is σ = 222861300480. Its totient is φ = 42358398720.

The previous prime is 101416434599. The next prime is 101416434619. The reversal of 101416434616 is 616434614101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101416434619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150991 + ... + 2197633.

It is an arithmetic number, because the mean of its divisors is an integer number (3482207820).

Almost surely, 2^101416434616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101416434616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111430650240).

101416434616 is an abundant number, since it is smaller than the sum of its proper divisors (121444865864).

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

101416434616 is a wasteful number, since it uses less digits than its factorization.

101416434616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47644 (or 47640 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 101416434616 in words is "one hundred one billion, four hundred sixteen million, four hundred thirty-four thousand, six hundred sixteen".