100006153 has 16 divisors (see below), whose sum is σ = 111177360. Its totient is φ = 89358336.

The previous prime is 100006133. The next prime is 100006157. The reversal of 100006153 is 351600001.

It can be written as a sum of positive squares in 8 ways, for example, as 29899024 + 70107129 = 5468^2 + 8373^2 .

It is a cyclic number.

It is not a de Polignac number, because 100006153 - 2⁹ = 100005641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100006157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123213 + ... + 124021.

It is an arithmetic number, because the mean of its divisors is an integer number (6948585).

Almost surely, 2^100006153 is an apocalyptic number.

100006153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100006153 is a deficient number, since it is larger than the sum of its proper divisors (11171207).

100006153 is a wasteful number, since it uses less digits than its factorization.

100006153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 100006153 is about 10000.3076452677. The cubic root of 100006153 is about 464.1684030647.

Adding to 100006153 its reverse (351600001), we get a palindrome (451606154).

The spelling of 100006153 in words is "one hundred million, six thousand, one hundred fifty-three".