106002432 has 168 divisors, whose sum is σ = 322260120. Its totient is φ = 34836480.

The previous prime is 106002431. The next prime is 106002443. The reversal of 106002432 is 234200601.

It is a happy number.

106002432 is a `hidden beast` number, since 10 + 600 + 24 + 32 = 666.

It is a super-2 number, since 2×106002432² = 22473031179829248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002431) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492957 + ... + 1493027.

It is an arithmetic number, because the mean of its divisors is an integer number (1918215).

Almost surely, 2^106002432 is an apocalyptic number.

106002432 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 106002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161130060).

106002432 is an abundant number, since it is smaller than the sum of its proper divisors (216257688).

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

106002432 is an frugal number, since it uses more digits than its factorization.

106002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106002432 is about 10295.7482486704. The cubic root of 106002432 is about 473.2659685039.

The spelling of 106002432 in words is "one hundred six million, two thousand, four hundred thirty-two".