105030133766140 has 48 divisors (see below), whose sum is σ = 240618643350624. Its totient is φ = 38192116377600.

The previous prime is 105030133766093. The next prime is 105030133766161. The reversal of 105030133766140 is 41667331030501.

It is a happy number.

It is a super-2 number, since 2×105030133766140² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105030133766093 and 105030133766102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8737672 + ... + 16923568.

It is an arithmetic number, because the mean of its divisors is an integer number (5012888403138).

Almost surely, 2^{105030133766140} is an apocalyptic number.

105030133766140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105030133766140 is an abundant number, since it is smaller than the sum of its proper divisors (135588509584484).

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

105030133766140 is a wasteful number, since it uses less digits than its factorization.

105030133766140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244238 (or 8244236 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

Adding to 105030133766140 its reverse (41667331030501), we get a palindrome (146697464796641).

The spelling of 105030133766140 in words is "one hundred five trillion, thirty billion, one hundred thirty-three million, seven hundred sixty-six thousand, one hundred forty".