4290092100 has 378 divisors, whose sum is σ = 16250219034. Its totient is φ = 979776000.

The previous prime is 4290092071. The next prime is 4290092123. The reversal of 4290092100 is 12900924.

It can be written as a sum of positive squares in 3 ways, for example, as 63011844 + 4227080256 = 7938^2 + 65016^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3571500 + ... + 3572700.

Almost surely, 2^4290092100 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 4290092100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125109517).

4290092100 is an abundant number, since it is smaller than the sum of its proper divisors (11960126934).

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

4290092100 is a wasteful number, since it uses less digits than its factorization.

4290092100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4290092100 is about 65498.7946453979. The cubic root of 4290092100 is about 1624.8834125428.

The spelling of 4290092100 in words is "four billion, two hundred ninety million, ninety-two thousand, one hundred".