106671624 has 64 divisors (see below), whose sum is σ = 281880000. Its totient is φ = 33546240.

The previous prime is 106671611. The next prime is 106671637. The reversal of 106671624 is 426176601.

It is an interprime number because it is at equal distance from previous prime (106671611) and next prime (106671637).

It is a super-2 number, since 2×106671624² = 22757670733594752, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 204484 + ... + 205004.

It is an arithmetic number, because the mean of its divisors is an integer number (4404375).

Almost surely, 2^106671624 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 106671624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140940000).

106671624 is an abundant number, since it is smaller than the sum of its proper divisors (175208376).

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

106671624 is a wasteful number, since it uses less digits than its factorization.

106671624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106671624 is about 10328.1955829661. The cubic root of 106671624 is about 474.2597874456.

The spelling of 106671624 in words is "one hundred six million, six hundred seventy-one thousand, six hundred twenty-four".