105972200 has 48 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 42200000.

The previous prime is 105972197. The next prime is 105972239. The reversal of 105972200 is 2279501.

It is a super-2 number, since 2×105972200² = 22460214345680000, 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 105972200.

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, 49145 + ... + 51255.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^105972200 is an apocalyptic number.

105972200 is a gapful number since it is divisible by the number (10) 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 105972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

105972200 is an abundant number, since it is smaller than the sum of its proper divisors (141511960).

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

105972200 is a wasteful number, since it uses less digits than its factorization.

105972200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105972200 is about 10294.2799651068. The cubic root of 105972200 is about 473.2209722495.

The spelling of 105972200 in words is "one hundred five million, nine hundred seventy-two thousand, two hundred".