147008100 has 72 divisors (see below), whose sum is σ = 427715680. Its totient is φ = 38983680.

The previous prime is 147008093. The next prime is 147008119. The reversal of 147008100 is 1800741.

It is a super-2 number, since 2×147008100² = 43222762931220000, which contains 22 as substring.

It is an unprimeable number.

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, 56631 + ... + 59169.

Almost surely, 2^147008100 is an apocalyptic number.

147008100 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 147008100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857840).

147008100 is an abundant number, since it is smaller than the sum of its proper divisors (280707580).

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

147008100 is a wasteful number, since it uses less digits than its factorization.

147008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 147008100 is about 12124.6896867507. The cubic root of 147008100 is about 527.7729022223.

Adding to 147008100 its reverse (1800741), we get a palindrome (148808841).

The spelling of 147008100 in words is "one hundred forty-seven million, eight thousand, one hundred".