106216624404 has 96 divisors (see below), whose sum is σ = 301109114880. Its totient is φ = 32112021600.

The previous prime is 106216624391. The next prime is 106216624421. The reversal of 106216624404 is 404426612601.

106216624404 is a `hidden beast` number, since 1 + 0 + 6 + 21 + 6 + 624 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×106216624404² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408307 + ... + 615749.

It is an arithmetic number, because the mean of its divisors is an integer number (3136553280).

Almost surely, 2^106216624404 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 106216624404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150554557440).

106216624404 is an abundant number, since it is smaller than the sum of its proper divisors (194892490476).

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

106216624404 is a wasteful number, since it uses less digits than its factorization.

106216624404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207898 (or 207890 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 106216624404 in words is "one hundred six billion, two hundred sixteen million, six hundred twenty-four thousand, four hundred four".