106004616 has 32 divisors (see below), whose sum is σ = 265593600. Its totient is φ = 35257280.

The previous prime is 106004603. The next prime is 106004617. The reversal of 106004616 is 616400601.

It is a super-2 number, since 2×106004616² = 22473957226614912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106004617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6886 + ... + 16106.

It is an arithmetic number, because the mean of its divisors is an integer number (8299800).

Almost surely, 2^106004616 is an apocalyptic number.

It is an amenable number.

106004616 is an abundant number, since it is smaller than the sum of its proper divisors (159588984).

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

106004616 is a wasteful number, since it uses less digits than its factorization.

106004616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106004616 is about 10295.8543113236. The cubic root of 106004616 is about 473.2692187619.

The spelling of 106004616 in words is "one hundred six million, four thousand, six hundred sixteen".