105131030400252 has 48 divisors (see below), whose sum is σ = 272579358938880. Its totient is φ = 35041436022384.

The previous prime is 105131030400241. The next prime is 105131030400271. The reversal of 105131030400252 is 252004030131501.

105131030400252 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 1 + 0 + 3 + 0 + 400 + 252 = 666.

It is a super-2 number, since 2×105131030400252² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29424648 + ... + 32803535.

It is an arithmetic number, because the mean of its divisors is an integer number (5678736644560).

Almost surely, 2^{105131030400252} is an apocalyptic number.

105131030400252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105131030400252 is an abundant number, since it is smaller than the sum of its proper divisors (167448328538628).

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

105131030400252 is a wasteful number, since it uses less digits than its factorization.

105131030400252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62243839 (or 62243831 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105131030400252 its reverse (252004030131501), we get a palindrome (357135060531753).

The spelling of 105131030400252 in words is "one hundred five trillion, one hundred thirty-one billion, thirty million, four hundred thousand, two hundred fifty-two".