105125315400 has 480 divisors, whose sum is σ = 425813520000. Its totient is φ = 24027373440.

The previous prime is 105125315389. The next prime is 105125315423. The reversal of 105125315400 is 4513521501.

105125315400 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 253 + 1 + 5 + 400 = 666.

It is a super-2 number, since 2×105125315400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5547141 + ... + 5566059.

It is an arithmetic number, because the mean of its divisors is an integer number (887111500).

Almost surely, 2^105125315400 is an apocalyptic number.

105125315400 is a gapful number since it is divisible by the number (10) 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 105125315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212906760000).

105125315400 is an abundant number, since it is smaller than the sum of its proper divisors (320688204600).

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

105125315400 is a wasteful number, since it uses less digits than its factorization.

105125315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18968 (or 18936 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105125315400 its reverse (4513521501), we get a palindrome (109638836901).

The spelling of 105125315400 in words is "one hundred five billion, one hundred twenty-five million, three hundred fifteen thousand, four hundred".