106409632 has 72 divisors (see below), whose sum is σ = 246776544. Its totient is φ = 44243712.

The previous prime is 106409629. The next prime is 106409651. The reversal of 106409632 is 236904601.

It is a super-2 number, since 2×106409632² = 22646019564750848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106409594 and 106409603.

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, 306483 + ... + 306829.

It is an arithmetic number, because the mean of its divisors is an integer number (3427452).

Almost surely, 2^106409632 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 106409632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123388272).

106409632 is an abundant number, since it is smaller than the sum of its proper divisors (140366912).

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

106409632 is an equidigital number, since it uses as much as digits as its factorization.

106409632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 106409632 is about 10315.5044471902. The cubic root of 106409632 is about 473.8711988397.

The spelling of 106409632 in words is "one hundred six million, four hundred nine thousand, six hundred thirty-two".