153122100 has 72 divisors (see below), whose sum is σ = 445992288. Its totient is φ = 40560000.

The previous prime is 153122089. The next prime is 153122107. The reversal of 153122100 is 1221351.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45475 + ... + 48725.

Almost surely, 2^153122100 is an apocalyptic number.

153122100 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 153122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222996144).

153122100 is an abundant number, since it is smaller than the sum of its proper divisors (292870188).

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

153122100 is a wasteful number, since it uses less digits than its factorization.

153122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 153122100 is about 12374.2514925146. The cubic root of 153122100 is about 534.9903628858.

Adding to 153122100 its reverse (1221351), we get a palindrome (154343451).

The spelling of 153122100 in words is "one hundred fifty-three million, one hundred twenty-two thousand, one hundred".