1368422100 has 180 divisors, whose sum is σ = 4460644188. Its totient is φ = 362880000.

The previous prime is 1368422071. The next prime is 1368422141. The reversal of 1368422100 is 12248631.

1368422100 is a `hidden beast` number, since 136 + 8 + 422 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50296464 + 1318125636 = 7092^2 + 36306^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1951750 + ... + 1952450.

Almost surely, 2^1368422100 is an apocalyptic number.

1368422100 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 1368422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230322094).

1368422100 is an abundant number, since it is smaller than the sum of its proper divisors (3092222088).

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

1368422100 is a wasteful number, since it uses less digits than its factorization.

1368422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1368422100 is about 36992.1897162090. The cubic root of 1368422100 is about 1110.2139835817.

The spelling of 1368422100 in words is "one billion, three hundred sixty-eight million, four hundred twenty-two thousand, one hundred".