5742507100 has 72 divisors (see below), whose sum is σ = 13616034768. Its totient is φ = 2084812800.

The previous prime is 5742507097. The next prime is 5742507103. The reversal of 5742507100 is 17052475.

It is an interprime number because it is at equal distance from previous prime (5742507097) and next prime (5742507103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742507103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736422 + ... + 744178.

It is an arithmetic number, because the mean of its divisors is an integer number (189111594).

Almost surely, 2^5742507100 is an apocalyptic number.

5742507100 is a gapful number since it is divisible by the number (50) 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 5742507100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808017384).

5742507100 is an abundant number, since it is smaller than the sum of its proper divisors (7873527668).

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

5742507100 is a wasteful number, since it uses less digits than its factorization.

5742507100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 5742507100 is about 75779.3316148935. The cubic root of 5742507100 is about 1790.7454111722.

Adding to 5742507100 its reverse (17052475), we get a palindrome (5759559575).

The spelling of 5742507100 in words is "five billion, seven hundred forty-two million, five hundred seven thousand, one hundred".