196164100 has 72 divisors (see below), whose sum is σ = 467845056. Its totient is φ = 70800000.

The previous prime is 196164053. The next prime is 196164107. The reversal of 196164100 is 1461691.

It is not an unprimeable number, because it can be changed into a prime (196164107) 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, 165510 + ... + 166690.

It is an arithmetic number, because the mean of its divisors is an integer number (6497848).

Almost surely, 2^196164100 is an apocalyptic number.

196164100 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 196164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233922528).

196164100 is an abundant number, since it is smaller than the sum of its proper divisors (271680956).

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

196164100 is a wasteful number, since it uses less digits than its factorization.

196164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 196164100 is about 14005.8594880857. The cubic root of 196164100 is about 581.0406406754.

It can be divided in two parts, 19616 and 4100, that added together give a square (23716 = 154²).

The spelling of 196164100 in words is "one hundred ninety-six million, one hundred sixty-four thousand, one hundred".