105090672 has 80 divisors (see below), whose sum is σ = 288176000. Its totient is φ = 32908032.

The previous prime is 105090649. The next prime is 105090677. The reversal of 105090672 is 276090501.

It is a super-3 number, since 3×105090672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105090677) 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, 126354 + ... + 127182.

It is an arithmetic number, because the mean of its divisors is an integer number (3602200).

Almost surely, 2^105090672 is an apocalyptic number.

105090672 is a gapful number since it is divisible by the number (12) 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 105090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144088000).

105090672 is an abundant number, since it is smaller than the sum of its proper divisors (183085328).

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

105090672 is a wasteful number, since it uses less digits than its factorization.

105090672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105090672 is about 10251.3741517906. The cubic root of 105090672 is about 471.9051566593.

The spelling of 105090672 in words is "one hundred five million, ninety thousand, six hundred seventy-two".