105861900 has 72 divisors (see below), whose sum is σ = 316201984. Its totient is φ = 27316800.

The previous prime is 105861887. The next prime is 105861929. The reversal of 105861900 is 9168501.

It is a happy number.

It is a super-2 number, since 2×105861900² = 22413483743220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609 + ... + 14991.

Almost surely, 2^105861900 is an apocalyptic number.

105861900 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 105861900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100992).

105861900 is an abundant number, since it is smaller than the sum of its proper divisors (210340084).

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

105861900 is a wasteful number, since it uses less digits than its factorization.

105861900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 105861900 is about 10288.9212262511. The cubic root of 105861900 is about 473.0567329710.

The spelling of 105861900 in words is "one hundred five million, eight hundred sixty-one thousand, nine hundred".