5117100 has 72 divisors (see below), whose sum is σ = 15238608. Its totient is φ = 1324800.

The previous prime is 5117089. The next prime is 5117111. The reversal of 5117100 is 17115.

It is an interprime number because it is at equal distance from previous prime (5117089) and next prime (5117111).

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 5117100.

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, 10870 + ... + 11330.

Almost surely, 2^5117100 is an apocalyptic number.

5117100 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 5117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619304).

5117100 is an abundant number, since it is smaller than the sum of its proper divisors (10121508).

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

5117100 is a wasteful number, since it uses less digits than its factorization.

5117100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 5117100 is about 2262.1007935103. The cubic root of 5117100 is about 172.3222281162.

Adding to 5117100 its sum of digits (15), we get a palindrome (5117115).

The spelling of 5117100 in words is "five million, one hundred seventeen thousand, one hundred".