106031664 has 60 divisors (see below), whose sum is σ = 301630992. Its totient is φ = 34761600.

The previous prime is 106031623. The next prime is 106031683. The reversal of 106031664 is 466130601.

It is a super-2 number, since 2×106031664² = 22485427541217792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2749 + ... + 14819.

Almost surely, 2^106031664 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 106031664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150815496).

106031664 is an abundant number, since it is smaller than the sum of its proper divisors (195599328).

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

106031664 is a wasteful number, since it uses less digits than its factorization.

106031664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146 (or 12137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106031664 is about 10297.1677659442. The cubic root of 106031664 is about 473.3094682583.

The spelling of 106031664 in words is "one hundred six million, thirty-one thousand, six hundred sixty-four".