105078972 has 48 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 32735232.

The previous prime is 105078947. The next prime is 105078991. The reversal of 105078972 is 279870501.

It is a super-2 number, since 2×105078972² = 22083180713153568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105078972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28668 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^105078972 is an apocalyptic number.

105078972 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 105078972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

105078972 is an abundant number, since it is smaller than the sum of its proper divisors (156345828).

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

105078972 is a wasteful number, since it uses less digits than its factorization.

105078972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 105078972 is about 10250.8034807034. The cubic root of 105078972 is about 471.8876432266.

The spelling of 105078972 in words is "one hundred five million, seventy-eight thousand, nine hundred seventy-two".