105198739136 has 56 divisors (see below), whose sum is σ = 219928927680. Its totient is φ = 49788317952.

The previous prime is 105198739133. The next prime is 105198739181. The reversal of 105198739136 is 631937891501.

It is a super-2 number, since 2×105198739136² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105198739133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406951 + ... + 1479833.

It is an arithmetic number, because the mean of its divisors is an integer number (3927302280).

Almost surely, 2^105198739136 is an apocalyptic number.

105198739136 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 105198739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109964463840).

105198739136 is an abundant number, since it is smaller than the sum of its proper divisors (114730188544).

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

105198739136 is a wasteful number, since it uses less digits than its factorization.

105198739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74101 (or 74091 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 53.

The spelling of 105198739136 in words is "one hundred five billion, one hundred ninety-eight million, seven hundred thirty-nine thousand, one hundred thirty-six".