64070100 has 108 divisors (see below), whose sum is σ = 202333404. Its totient is φ = 16957440.

The previous prime is 64070081. The next prime is 64070101. The reversal of 64070100 is 107046.

64070100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6084 + 64064016 = 78^2 + 8004^2 .

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 (64070101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 231162 + ... + 231438.

Almost surely, 2^64070100 is an apocalyptic number.

64070100 is a gapful number since it is divisible by the number (60) 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 64070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101166702).

64070100 is an abundant number, since it is smaller than the sum of its proper divisors (138263304).

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

64070100 is a wasteful number, since it uses less digits than its factorization.

64070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 64070100 is about 8004.3800509471. The cubic root of 64070100 is about 400.1459883787.

Adding to 64070100 its reverse (107046), we get a palindrome (64177146).

The spelling of 64070100 in words is "sixty-four million, seventy thousand, one hundred".