5168100 has 144 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1119360.

The previous prime is 5168089. The next prime is 5168113. The reversal of 5168100 is 18615.

It is a super-2 number, since 2×5168100² = 53418515220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48247 + ... + 48353.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^5168100 is an apocalyptic number.

5168100 is a gapful number since it is divisible by the number (50) 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 5168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5168100 is an abundant number, since it is smaller than the sum of its proper divisors (12830748).

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

5168100 is a wasteful number, since it uses less digits than its factorization.

5168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5168100 is about 2273.3455522643. The cubic root of 5168100 is about 172.8928245704.

The spelling of 5168100 in words is "five million, one hundred sixty-eight thousand, one hundred".