105872736 has 96 divisors (see below), whose sum is σ = 304547040. Its totient is φ = 32055296.

The previous prime is 105872729. The next prime is 105872737. The reversal of 105872736 is 637278501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105872736² = 22418072456251392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105872694 and 105872703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105872737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46210 + ... + 48446.

It is an arithmetic number, because the mean of its divisors is an integer number (3172365).

Almost surely, 2^105872736 is an apocalyptic number.

105872736 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 105872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152273520).

105872736 is an abundant number, since it is smaller than the sum of its proper divisors (198674304).

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

105872736 is a wasteful number, since it uses less digits than its factorization.

105872736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 105872736 is about 10289.4477985944. The cubic root of 105872736 is about 473.0728730801.

The spelling of 105872736 in words is "one hundred five million, eight hundred seventy-two thousand, seven hundred thirty-six".