105507072 has 216 divisors, whose sum is σ = 348199488. Its totient is φ = 30412800.

The previous prime is 105507067. The next prime is 105507109. The reversal of 105507072 is 270705501.

It is a super-2 number, since 2×105507072² = 22263484484026368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582822 + ... + 583002.

Almost surely, 2^105507072 is an apocalyptic number.

105507072 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 105507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099744).

105507072 is an abundant number, since it is smaller than the sum of its proper divisors (242692416).

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

105507072 is a wasteful number, since it uses less digits than its factorization.

105507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 105507072 is about 10271.6635458917. The cubic root of 105507072 is about 472.5276107154.

The spelling of 105507072 in words is "one hundred five million, five hundred seven thousand, seventy-two".