100042772 has 24 divisors (see below), whose sum is σ = 177261000. Its totient is φ = 49401216.

The previous prime is 100042757. The next prime is 100042781. The reversal of 100042772 is 277240001.

It can be written as a sum of positive squares in 4 ways, for example, as 46840336 + 53202436 = 6844^2 + 7294^2 .

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, 136118 + ... + 136850.

It is an arithmetic number, because the mean of its divisors is an integer number (7385875).

Almost surely, 2^100042772 is an apocalyptic number.

It is an amenable number.

100042772 is a deficient number, since it is larger than the sum of its proper divisors (77218228).

100042772 is a wasteful number, since it uses less digits than its factorization.

100042772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 100042772 is about 10002.1383713684. The cubic root of 100042772 is about 464.2250506077.

Adding to 100042772 its reverse (277240001), we get a palindrome (377282773).

The spelling of 100042772 in words is "one hundred million, forty-two thousand, seven hundred seventy-two".