106326432 has 240 divisors, whose sum is σ = 351267840. Its totient is φ = 31352832.

The previous prime is 106326391. The next prime is 106326433. The reversal of 106326432 is 234623601.

106326432 is a `hidden beast` number, since 10 + 6 + 3 + 2 + 643 + 2 = 666.

It is a super-2 number, since 2×106326432² = 22610620283701248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106326396 and 106326405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106326433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837153 + ... + 837279.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^106326432 is an apocalyptic number.

106326432 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 106326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

106326432 is an abundant number, since it is smaller than the sum of its proper divisors (244941408).

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

106326432 is a wasteful number, since it uses less digits than its factorization.

106326432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106326432 is about 10311.4708941062. The cubic root of 106326432 is about 473.7476625175.

It can be divided in two parts, 1063 and 26432, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 106326432 in words is "one hundred six million, three hundred twenty-six thousand, four hundred thirty-two".