105953892 has 72 divisors (see below), whose sum is σ = 278227488. Its totient is φ = 31342080.

The previous prime is 105953891. The next prime is 105953923. The reversal of 105953892 is 298359501.

It is a super-2 number, since 2×105953892² = 22452454459895328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105953891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61588 + ... + 63284.

Almost surely, 2^105953892 is an apocalyptic number.

105953892 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 105953892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139113744).

105953892 is an abundant number, since it is smaller than the sum of its proper divisors (172273596).

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

105953892 is a wasteful number, since it uses less digits than its factorization.

105953892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 105953892 is about 10293.3906950042. The cubic root of 105953892 is about 473.1937191003.

The spelling of 105953892 in words is "one hundred five million, nine hundred fifty-three thousand, eight hundred ninety-two".