105354202416 has 40 divisors (see below), whose sum is σ = 273991652400. Its totient is φ = 34882373376.

The previous prime is 105354202409. The next prime is 105354202439. The reversal of 105354202416 is 614202453501.

It is a super-2 number, since 2×105354202416² (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 7 ways as a sum of consecutive naturals, for example, 7358215 + ... + 7372518.

It is an arithmetic number, because the mean of its divisors is an integer number (6849791310).

Almost surely, 2^105354202416 is an apocalyptic number.

105354202416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105354202416 is an abundant number, since it is smaller than the sum of its proper divisors (168637449984).

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

105354202416 is a wasteful number, since it uses less digits than its factorization.

105354202416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14730893 (or 14730887 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 105354202416 its reverse (614202453501), we get a palindrome (719556655917).

The spelling of 105354202416 in words is "one hundred five billion, three hundred fifty-four million, two hundred two thousand, four hundred sixteen".