109141632 has 96 divisors (see below), whose sum is σ = 332600580. Its totient is φ = 34234368.

The previous prime is 109141609. The next prime is 109141651. The reversal of 109141632 is 236141901.

109141632 is a `hidden beast` number, since 10 + 9 + 14 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106998336 + 2143296 = 10344^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 109141596 and 109141605.

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, 16798 + ... + 22370.

Almost surely, 2^109141632 is an apocalyptic number.

109141632 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 109141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166300290).

109141632 is an abundant number, since it is smaller than the sum of its proper divisors (223458948).

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

109141632 is a wasteful number, since it uses less digits than its factorization.

109141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109141632 is about 10447.0872495639. The cubic root of 109141632 is about 477.8924263214.

The spelling of 109141632 in words is "one hundred nine million, one hundred forty-one thousand, six hundred thirty-two".