106531632 has 80 divisors (see below), whose sum is σ = 321904000. Its totient is φ = 33638976.

The previous prime is 106531631. The next prime is 106531687. The reversal of 106531632 is 236135601.

106531632 is a `hidden beast` number, since 1 + 0 + 653 + 1 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×106531632² = 22697977233166848, 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 = 106531596 and 106531605.

It is not an unprimeable number, because it can be changed into a prime (106531631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719 + ... + 14697.

It is an arithmetic number, because the mean of its divisors is an integer number (4023800).

Almost surely, 2^106531632 is an apocalyptic number.

106531632 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 106531632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160952000).

106531632 is an abundant number, since it is smaller than the sum of its proper divisors (215372368).

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

106531632 is a wasteful number, since it uses less digits than its factorization.

106531632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13015 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106531632 is about 10321.4161819006. The cubic root of 106531632 is about 474.0522294634.

The spelling of 106531632 in words is "one hundred six million, five hundred thirty-one thousand, six hundred thirty-two".