105162070600 has 96 divisors (see below), whose sum is σ = 246699924480. Its totient is φ = 41687412480.

The previous prime is 105162070589. The next prime is 105162070619. The reversal of 105162070600 is 6070261501.

It is a super-2 number, since 2×105162070600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31418127 + ... + 31421473.

It is an arithmetic number, because the mean of its divisors is an integer number (2569790880).

Almost surely, 2^105162070600 is an apocalyptic number.

105162070600 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 105162070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123349962240).

105162070600 is an abundant number, since it is smaller than the sum of its proper divisors (141537853880).

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

105162070600 is a wasteful number, since it uses less digits than its factorization.

105162070600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 105162070600 in words is "one hundred five billion, one hundred sixty-two million, seventy thousand, six hundred".