4735920100 has 72 divisors (see below), whose sum is σ = 10462955328. Its totient is φ = 1860297600.

The previous prime is 4735920089. The next prime is 4735920113. The reversal of 4735920100 is 10295374.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008122 + ... + 2010478.

It is an arithmetic number, because the mean of its divisors is an integer number (145318824).

Almost surely, 2^4735920100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231477664).

4735920100 is an abundant number, since it is smaller than the sum of its proper divisors (5727035228).

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

4735920100 is a wasteful number, since it uses less digits than its factorization.

4735920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4735920100 is about 68818.0216222466. The cubic root of 4735920100 is about 1679.3251375772.

The spelling of 4735920100 in words is "four billion, seven hundred thirty-five million, nine hundred twenty thousand, one hundred".