105214043136 has 88 divisors (see below), whose sum is σ = 281984632384. Its totient is φ = 34877399040.

The previous prime is 105214043131. The next prime is 105214043141. The reversal of 105214043136 is 631340412501.

It is an interprime number because it is at equal distance from previous prime (105214043131) and next prime (105214043141).

It is a super-2 number, since 2×105214043136² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105214043131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461421 + ... + 650643.

Almost surely, 2^105214043136 is an apocalyptic number.

105214043136 is a gapful number since it is divisible by the number (16) 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 105214043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140992316192).

105214043136 is an abundant number, since it is smaller than the sum of its proper divisors (176770589248).

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

105214043136 is a wasteful number, since it uses less digits than its factorization.

105214043136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189427 (or 189409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 105214043136 its reverse (631340412501), we get a palindrome (736554455637).

The spelling of 105214043136 in words is "one hundred five billion, two hundred fourteen million, forty-three thousand, one hundred thirty-six".