105140513452400 has 120 divisors (see below), whose sum is σ = 254510135465040. Its totient is φ = 41738415390720.

The previous prime is 105140513452393. The next prime is 105140513452423. The reversal of 105140513452400 is 4254315041501.

It is a happy number.

It is a super-2 number, since 2×105140513452400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152723354 + ... + 153410246.

It is an arithmetic number, because the mean of its divisors is an integer number (2120917795542).

Almost surely, 2^{105140513452400} is an apocalyptic number.

105140513452400 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 105140513452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127255067732520).

105140513452400 is an abundant number, since it is smaller than the sum of its proper divisors (149369622012640).

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

105140513452400 is a wasteful number, since it uses less digits than its factorization.

105140513452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689803 (or 689792 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 105140513452400 its reverse (4254315041501), we get a palindrome (109394828493901).

The spelling of 105140513452400 in words is "one hundred five trillion, one hundred forty billion, five hundred thirteen million, four hundred fifty-two thousand, four hundred".