130107642 has 96 divisors (see below), whose sum is σ = 321490944. Its totient is φ = 34927200.

The previous prime is 130107641. The next prime is 130107661. The reversal of 130107642 is 246701031.

It is not an unprimeable number, because it can be changed into a prime (130107641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479967 + ... + 480237.

It is an arithmetic number, because the mean of its divisors is an integer number (3348864).

Almost surely, 2^130107642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130107642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160745472).

130107642 is an abundant number, since it is smaller than the sum of its proper divisors (191383302).

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

130107642 is a wasteful number, since it uses less digits than its factorization.

130107642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130107642 is about 11406.4736882176. The cubic root of 130107642 is about 506.7194819328.

Adding to 130107642 its reverse (246701031), we get a palindrome (376808673).

The spelling of 130107642 in words is "one hundred thirty million, one hundred seven thousand, six hundred forty-two".