105374655995700 has 288 divisors, whose sum is σ = 378957127691520. Its totient is φ = 22012766208000.

The previous prime is 105374655995641. The next prime is 105374655995747. The reversal of 105374655995700 is 7599556473501.

It is a super-2 number, since 2×105374655995700² (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 95 ways as a sum of consecutive naturals, for example, 16351005 + ... + 21865604.

It is an arithmetic number, because the mean of its divisors is an integer number (1315823360040).

Almost surely, 2^{105374655995700} is an apocalyptic number.

105374655995700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105374655995700 is an abundant number, since it is smaller than the sum of its proper divisors (273582471695820).

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

105374655995700 is a wasteful number, since it uses less digits than its factorization.

105374655995700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38216747 (or 38216740 counting only the distinct ones).

The product of its (nonzero) digits is 178605000, while the sum is 66.

The spelling of 105374655995700 in words is "one hundred five trillion, three hundred seventy-four billion, six hundred fifty-five million, nine hundred ninety-five thousand, seven hundred".