109131642 has 72 divisors (see below), whose sum is σ = 252161364. Its totient is φ = 34100352.

The previous prime is 109131641. The next prime is 109131643. The reversal of 109131642 is 246131901.

109131642 is a `hidden beast` number, since 1 + 0 + 9 + 13 + 1 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (109131641) and next prime (109131643).

It can be written as a sum of positive squares in 2 ways, for example, as 108555561 + 576081 = 10419^2 + 759^2 .

It is not an unprimeable number, because it can be changed into a prime (109131641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 695028 + ... + 695184.

Almost surely, 2^109131642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109131642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126080682).

109131642 is an abundant number, since it is smaller than the sum of its proper divisors (143029722).

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

109131642 is a wasteful number, since it uses less digits than its factorization.

109131642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

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

The square root of 109131642 is about 10446.6091149234. The cubic root of 109131642 is about 477.8778449897.

The spelling of 109131642 in words is "one hundred nine million, one hundred thirty-one thousand, six hundred forty-two".