105114001216 has 28 divisors (see below), whose sum is σ = 238383539488. Its totient is φ = 45048857472.

The previous prime is 105114001147. The next prime is 105114001249. The reversal of 105114001216 is 612100411501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×105114001216² (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 3 ways as a sum of consecutive naturals, for example, 117314286 + ... + 117315181.

Almost surely, 2^105114001216 is an apocalyptic number.

105114001216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105114001216 is an abundant number, since it is smaller than the sum of its proper divisors (133269538272).

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

105114001216 is an equidigital number, since it uses as much as digits as its factorization.

105114001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234629486 (or 234629476 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 105114001216 its reverse (612100411501), we get a palindrome (717214412717).

The spelling of 105114001216 in words is "one hundred five billion, one hundred fourteen million, one thousand, two hundred sixteen".