154008100 has 81 divisors (see below), whose sum is σ = 359942457. Its totient is φ = 57185280.

The previous prime is 154008047. The next prime is 154008109. The reversal of 154008100 is 1800451.

The square root of 154008100 is 12410.

It is a perfect power (a square), and thus also a powerful number.

154008100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 44009956 + 109998144 = 6634^2 + 10488^2 .

It is a super-2 number, since 2×154008100² = 47436989731220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (154008109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2109664 + ... + 2109736.

Almost surely, 2^154008100 is an apocalyptic number.

154008100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

154008100 is the 12410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154008100

154008100 is an abundant number, since it is smaller than the sum of its proper divisors (205934357).

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

154008100 is a wasteful number, since it uses less digits than its factorization.

154008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The cubic root of 154008100 is about 536.0202385244.

Adding to 154008100 its reverse (1800451), we get a palindrome (155808551).

The spelling of 154008100 in words is "one hundred fifty-four million, eight thousand, one hundred".