100139552 has 54 divisors (see below), whose sum is σ = 207584559. Its totient is φ = 47550720.

The previous prime is 100139551. The next prime is 100139573. The reversal of 100139552 is 255931001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4177936 + 95961616 = 2044^2 + 9796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7076.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100139551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1641602 + ... + 1641662.

Almost surely, 2^100139552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100139552

100139552 is an abundant number, since it is smaller than the sum of its proper divisors (107445007).

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

100139552 is an frugal number, since it uses more digits than its factorization.

100139552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 100139552 is about 10006.9751673520. The cubic root of 100139552 is about 464.3746973365.

The spelling of 100139552 in words is "one hundred million, one hundred thirty-nine thousand, five hundred fifty-two".