105196640 has 96 divisors (see below), whose sum is σ = 260112384. Its totient is φ = 40158720.

The previous prime is 105196639. The next prime is 105196667. The reversal of 105196640 is 46691501.

It is a super-2 number, since 2×105196640² = 22132666134579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105196597 and 105196606.

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, 629837 + ... + 630003.

It is an arithmetic number, because the mean of its divisors is an integer number (2709504).

Almost surely, 2^105196640 is an apocalyptic number.

105196640 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 105196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192).

105196640 is an abundant number, since it is smaller than the sum of its proper divisors (154915744).

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

105196640 is a wasteful number, since it uses less digits than its factorization.

105196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105196640 is about 10256.5413273676. The cubic root of 105196640 is about 472.0637182963.

The spelling of 105196640 in words is "one hundred five million, one hundred ninety-six thousand, six hundred forty".