106489152 has 252 divisors, whose sum is σ = 388473696. Its totient is φ = 27659520.

The previous prime is 106489147. The next prime is 106489153. The reversal of 106489152 is 251984601.

106489152 is a `hidden beast` number, since 1 + 0 + 648 + 9 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×106489152² = 22679878987358208, 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 (106489153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9680827 + ... + 9680837.

Almost surely, 2^106489152 is an apocalyptic number.

106489152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194236848).

106489152 is an abundant number, since it is smaller than the sum of its proper divisors (281984544).

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

106489152 is an frugal number, since it uses more digits than its factorization.

106489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106489152 is about 10319.3581195731. The cubic root of 106489152 is about 473.9892108851.

The spelling of 106489152 in words is "one hundred six million, four hundred eighty-nine thousand, one hundred fifty-two".