1007101242 has 64 divisors (see below), whose sum is σ = 2612183040. Its totient is φ = 281616048.

The previous prime is 1007101231. The next prime is 1007101279. The reversal of 1007101242 is 2421017001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10578 + ... + 46109.

It is an arithmetic number, because the mean of its divisors is an integer number (40815360).

Almost surely, 2^1007101242 is an apocalyptic number.

1007101242 is an abundant number, since it is smaller than the sum of its proper divisors (1605081798).

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

1007101242 is a wasteful number, since it uses less digits than its factorization.

1007101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56752 (or 56746 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1007101242 is about 31734.8584682522. The cubic root of 1007101242 is about 1002.3614995965.

Adding to 1007101242 its reverse (2421017001), we get a palindrome (3428118243).

The spelling of 1007101242 in words is "one billion, seven million, one hundred one thousand, two hundred forty-two".