106405216424 has 64 divisors (see below), whose sum is σ = 216849482640. Its totient is φ = 48656424960.

The previous prime is 106405216373. The next prime is 106405216427. The reversal of 106405216424 is 424612504601.

It can be written as a sum of positive squares in 8 ways, for example, as 2475062500 + 103930153924 = 49750^2 + 322382^2 .

It is a super-2 number, since 2×106405216424² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106405216427) 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, 5754554 + ... + 5773014.

Almost surely, 2^106405216424 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 106405216424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108424741320).

106405216424 is an abundant number, since it is smaller than the sum of its proper divisors (110444266216).

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

106405216424 is a wasteful number, since it uses less digits than its factorization.

106405216424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18990 (or 18986 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 106405216424 in words is "one hundred six billion, four hundred five million, two hundred sixteen thousand, four hundred twenty-four".