105699733376 has 64 divisors (see below), whose sum is σ = 214768707120. Its totient is φ = 51799068672.

The previous prime is 105699733367. The next prime is 105699733379. The reversal of 105699733376 is 673337996501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105699733376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105699733379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7000331 + ... + 7015413.

Almost surely, 2^105699733376 is an apocalyptic number.

105699733376 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 105699733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107384353560).

105699733376 is an abundant number, since it is smaller than the sum of its proper divisors (109068973744).

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

105699733376 is a wasteful number, since it uses less digits than its factorization.

105699733376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16183 (or 16171 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 59.

The spelling of 105699733376 in words is "one hundred five billion, six hundred ninety-nine million, seven hundred thirty-three thousand, three hundred seventy-six".