105450072 has 128 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 27256320.

The previous prime is 105450047. The next prime is 105450077. The reversal of 105450072 is 270054501.

It is a super-2 number, since 2×105450072² = 22239435369610368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105450077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115297 + ... + 116207.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^105450072 is an apocalyptic number.

105450072 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 105450072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

105450072 is an abundant number, since it is smaller than the sum of its proper divisors (225496488).

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

105450072 is a wasteful number, since it uses less digits than its factorization.

105450072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105450072 is about 10268.8885474524. Note that the first 3 decimals coincide. The cubic root of 105450072 is about 472.4425013317.

The spelling of 105450072 in words is "one hundred five million, four hundred fifty thousand, seventy-two".