105430675100 has 144 divisors (see below), whose sum is σ = 243743253600. Its totient is φ = 39470976000.

The previous prime is 105430675099. The next prime is 105430675117. The reversal of 105430675100 is 1576034501.

It is a super-2 number, since 2×105430675100² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 112040630 + ... + 112041570.

Almost surely, 2^105430675100 is an apocalyptic number.

105430675100 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 105430675100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121871626800).

105430675100 is an abundant number, since it is smaller than the sum of its proper divisors (138312578500).

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

105430675100 is a wasteful number, since it uses less digits than its factorization.

105430675100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 105430675100 in words is "one hundred five billion, four hundred thirty million, six hundred seventy-five thousand, one hundred".