105330135454100 has 36 divisors (see below), whose sum is σ = 238504063242144. Its totient is φ = 40300225738080.

The previous prime is 105330135454087. The next prime is 105330135454111. The reversal of 105330135454100 is 1454531033501.

It is a super-2 number, since 2×105330135454100² (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 11 ways as a sum of consecutive naturals, for example, 22897853234 + ... + 22897857833.

Almost surely, 2^{105330135454100} is an apocalyptic number.

105330135454100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105330135454100 is an abundant number, since it is smaller than the sum of its proper divisors (133173927788044).

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

105330135454100 is a wasteful number, since it uses less digits than its factorization.

105330135454100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45795711104 (or 45795711097 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 105330135454100 its reverse (1454531033501), we get a palindrome (106784666487601).

The spelling of 105330135454100 in words is "one hundred five trillion, three hundred thirty billion, one hundred thirty-five million, four hundred fifty-four thousand, one hundred".