105133375620 has 432 divisors, whose sum is σ = 400599239040. Its totient is φ = 21847947264.

The previous prime is 105133375597. The next prime is 105133375649. The reversal of 105133375620 is 26573331501.

105133375620 is a `hidden beast` number, since 10 + 5 + 13 + 3 + 3 + 7 + 5 + 620 = 666.

It is a super-2 number, since 2×105133375620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14263296 + ... + 14270664.

Almost surely, 2^105133375620 is an apocalyptic number.

105133375620 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 105133375620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200299619520).

105133375620 is an abundant number, since it is smaller than the sum of its proper divisors (295465863420).

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

105133375620 is a wasteful number, since it uses less digits than its factorization.

105133375620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 105133375620 in words is "one hundred five billion, one hundred thirty-three million, three hundred seventy-five thousand, six hundred twenty".