105007672 has 48 divisors (see below), whose sum is σ = 247348080. Its totient is φ = 40909440.

The previous prime is 105007667. The next prime is 105007709. The reversal of 105007672 is 276700501.

It is a super-2 number, since 2×105007672² = 22053222357719168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105007672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973 + ... + 14524.

It is an arithmetic number, because the mean of its divisors is an integer number (5153085).

Almost surely, 2^105007672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105007672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123674040).

105007672 is an abundant number, since it is smaller than the sum of its proper divisors (142340408).

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

105007672 is a wasteful number, since it uses less digits than its factorization.

105007672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15517 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 105007672 is about 10247.3251143896. The cubic root of 105007672 is about 471.7808879576.

The spelling of 105007672 in words is "one hundred five million, seven thousand, six hundred seventy-two".