64106100 has 72 divisors (see below), whose sum is σ = 206097920. Its totient is φ = 17094240.

The previous prime is 64106071. The next prime is 64106101. The reversal of 64106100 is 160146.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64106101) 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, 9172 + ... + 14571.

Almost surely, 2^64106100 is an apocalyptic number.

64106100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64106100 is an abundant number, since it is smaller than the sum of its proper divisors (141991820).

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

64106100 is a wasteful number, since it uses less digits than its factorization.

64106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23766 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 64106100 is about 8006.6285039335. The cubic root of 64106100 is about 400.2209196305.

Adding to 64106100 its reverse (160146), we get a palindrome (64266246).

The spelling of 64106100 in words is "sixty-four million, one hundred six thousand, one hundred".