106553916 has 72 divisors (see below), whose sum is σ = 315360864. Its totient is φ = 29698560.

The previous prime is 106553911. The next prime is 106553927. The reversal of 106553916 is 619355601.

106553916 is a `hidden beast` number, since 10 + 6 + 553 + 91 + 6 = 666.

It is a super-2 number, since 2×106553916² = 22707474029870112, which 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 not an unprimeable number, because it can be changed into a prime (106553911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5176 + ... + 15488.

It is an arithmetic number, because the mean of its divisors is an integer number (4380012).

Almost surely, 2^106553916 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 106553916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157680432).

106553916 is an abundant number, since it is smaller than the sum of its proper divisors (208806948).

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

106553916 is a wasteful number, since it uses less digits than its factorization.

106553916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 106553916 is about 10322.4956284805. The cubic root of 106553916 is about 474.0852808154.

The spelling of 106553916 in words is "one hundred six million, five hundred fifty-three thousand, nine hundred sixteen".