105370632843400 has 192 divisors, whose sum is σ = 260065194048000. Its totient is φ = 39566921318400.

The previous prime is 105370632843397. The next prime is 105370632843401. The reversal of 105370632843400 is 4348236073501.

It is a super-2 number, since 2×105370632843400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105370632843401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6374886336 + ... + 6374902864.

It is an arithmetic number, because the mean of its divisors is an integer number (1354506219000).

Almost surely, 2^{105370632843400} is an apocalyptic number.

105370632843400 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 105370632843400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130032597024000).

105370632843400 is an abundant number, since it is smaller than the sum of its proper divisors (154694561204600).

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

105370632843400 is a wasteful number, since it uses less digits than its factorization.

105370632843400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 21263 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 105370632843400 in words is "one hundred five trillion, three hundred seventy billion, six hundred thirty-two million, eight hundred forty-three thousand, four hundred".