5105030400 has 432 divisors, whose sum is σ = 19343761920. Its totient is φ = 1316044800.

The previous prime is 5105030393. The next prime is 5105030407. The reversal of 5105030400 is 40305015.

It is an interprime number because it is at equal distance from previous prime (5105030393) and next prime (5105030407).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×5105030400² = 52122670769848320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105030407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356324 + ... + 5357276.

Almost surely, 2^5105030400 is an apocalyptic number.

5105030400 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 5105030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9671880960).

5105030400 is an abundant number, since it is smaller than the sum of its proper divisors (14238731520).

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

5105030400 is a wasteful number, since it uses less digits than its factorization.

5105030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5105030400 is about 71449.4954495831. The cubic root of 5105030400 is about 1721.8663714004.

Adding to 5105030400 its reverse (40305015), we get a palindrome (5145335415).

The spelling of 5105030400 in words is "five billion, one hundred five million, thirty thousand, four hundred".