1264210100 has 72 divisors (see below), whose sum is σ = 2930859288. Its totient is φ = 471654400.

The previous prime is 1264210099. The next prime is 1264210109. The reversal of 1264210100 is 10124621.

It can be written as a sum of positive squares in 12 ways, for example, as 713744656 + 550465444 = 26716^2 + 23462^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264210109) 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, 188810 + ... + 195390.

It is an arithmetic number, because the mean of its divisors is an integer number (40706379).

Almost surely, 2^1264210100 is an apocalyptic number.

1264210100 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 1264210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465429644).

1264210100 is an abundant number, since it is smaller than the sum of its proper divisors (1666649188).

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

1264210100 is a wasteful number, since it uses less digits than its factorization.

1264210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1264210100 is about 35555.7323085884. The cubic root of 1264210100 is about 1081.2839382578.

Adding to 1264210100 its reverse (10124621), we get a palindrome (1274334721).

The spelling of 1264210100 in words is "one billion, two hundred sixty-four million, two hundred ten thousand, one hundred".