100107752 has 8 divisors (see below), whose sum is σ = 187702050. Its totient is φ = 50053872.

The previous prime is 100107743. The next prime is 100107757. The reversal of 100107752 is 257701001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75446596 + 24661156 = 8686^2 + 4966^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (100107757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256727 + ... + 6256742.

Almost surely, 2^100107752 is an apocalyptic number.

It is an amenable number.

100107752 is a deficient number, since it is larger than the sum of its proper divisors (87594298).

100107752 is a wasteful number, since it uses less digits than its factorization.

100107752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513475 (or 12513471 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 100107752 is about 10005.3861494697. The cubic root of 100107752 is about 464.3255370114.

Adding to 100107752 its reverse (257701001), we get a palindrome (357808753).

The spelling of 100107752 in words is "one hundred million, one hundred seven thousand, seven hundred fifty-two".