154042100 has 144 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 53913600.

The previous prime is 154042099. The next prime is 154042103. The reversal of 154042100 is 1240451.

154042100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

154042100 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154042103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1949861 + ... + 1949939.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^154042100 is an apocalyptic number.

154042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

154042100 is an abundant number, since it is smaller than the sum of its proper divisors (225933580).

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

154042100 is a wasteful number, since it uses less digits than its factorization.

154042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 154042100 is about 12411.3697874167. The cubic root of 154042100 is about 536.0596809242.

Adding to 154042100 its reverse (1240451), we get a palindrome (155282551).

The spelling of 154042100 in words is "one hundred fifty-four million, forty-two thousand, one hundred".