105313003151200 has 108 divisors (see below), whose sum is σ = 278393210514468. Its totient is φ = 38884801113600.

The previous prime is 105313003151179. The next prime is 105313003151221. The reversal of 105313003151200 is 2151300313501.

It is an interprime number because it is at equal distance from previous prime (105313003151179) and next prime (105313003151221).

It is a super-2 number, since 2×105313003151200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389335966 + ... + 389606365.

It is an arithmetic number, because the mean of its divisors is an integer number (2577714912171).

Almost surely, 2^{105313003151200} is an apocalyptic number.

105313003151200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105313003151200 is an abundant number, since it is smaller than the sum of its proper divisors (173080207363268).

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

105313003151200 is a wasteful number, since it uses less digits than its factorization.

105313003151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778942377 (or 778942351 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 105313003151200 its reverse (2151300313501), we get a palindrome (107464303464701).

The spelling of 105313003151200 in words is "one hundred five trillion, three hundred thirteen billion, three million, one hundred fifty-one thousand, two hundred".