105416060100 has 144 divisors (see below), whose sum is σ = 329444414208. Its totient is φ = 25871247360.

The previous prime is 105416060089. The next prime is 105416060117. The reversal of 105416060100 is 1060614501.

It is a super-2 number, since 2×105416060100² (a number of 23 digits) contains 22 as substring.

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, 1274197 + ... + 1354403.

It is an arithmetic number, because the mean of its divisors is an integer number (2287808432).

Almost surely, 2^105416060100 is an apocalyptic number.

105416060100 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 105416060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164722207104).

105416060100 is an abundant number, since it is smaller than the sum of its proper divisors (224028354108).

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

105416060100 is a wasteful number, since it uses less digits than its factorization.

105416060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80574 (or 80567 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 105416060100 its reverse (1060614501), we get a palindrome (106476674601).

The spelling of 105416060100 in words is "one hundred five billion, four hundred sixteen million, sixty thousand, one hundred".