106020432 has 240 divisors, whose sum is σ = 376047360. Its totient is φ = 27168768.

The previous prime is 106020389. The next prime is 106020469. The reversal of 106020432 is 234020601.

It is a happy number.

It is a super-2 number, since 2×106020432² = 22480664002933248, 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 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 47 ways as a sum of consecutive naturals, for example, 393994 + ... + 394262.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^106020432 is an apocalyptic number.

106020432 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 106020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

106020432 is an abundant number, since it is smaller than the sum of its proper divisors (270026928).

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

106020432 is a wasteful number, since it uses less digits than its factorization.

106020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

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

The square root of 106020432 is about 10296.6223588126. The cubic root of 106020432 is about 473.2927550128.

The spelling of 106020432 in words is "one hundred six million, twenty thousand, four hundred thirty-two".