100057077125 has 8 divisors (see below), whose sum is σ = 124871232408. Its totient is φ = 80045661600.

The previous prime is 100057077103. The next prime is 100057077139. The reversal of 100057077125 is 521770750001.

It is a happy number.

It is a Cunningham number, because it is equal to 316318²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 100057077124 = 1^2 + 316318^2 .

It is not a de Polignac number, because 100057077125 - 2¹⁰ = 100057076101 is a prime.

It is a super-2 number, since 2×100057077125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400228184 + ... + 400228433.

It is an arithmetic number, because the mean of its divisors is an integer number (15608904051).

Almost surely, 2^100057077125 is an apocalyptic number.

It is an amenable number.

100057077125 is a deficient number, since it is larger than the sum of its proper divisors (24814155283).

100057077125 is an frugal number, since it uses more digits than its factorization.

100057077125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800456632 (or 800456622 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 35.

The spelling of 100057077125 in words is "one hundred billion, fifty-seven million, seventy-seven thousand, one hundred twenty-five".