1407000100 has 135 divisors (see below), whose sum is σ = 3470321505. Its totient is φ = 495132000.

The previous prime is 1407000043. The next prime is 1407000149. The reversal of 1407000100 is 10007041.

The square root of 1407000100 is 37510.

It is a perfect power (a square), and thus also a powerful number.

1407000100 is digitally balanced in base 6, 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 only one way, i.e., 506520036 + 900480064 = 22506^2 + 30008^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45387085 + ... + 45387115.

Almost surely, 2^1407000100 is an apocalyptic number.

1407000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1407000100 is the 37510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407000100

1407000100 is an abundant number, since it is smaller than the sum of its proper divisors (2063321405).

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

1407000100 is an equidigital number, since it uses as much as digits as its factorization.

1407000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The cubic root of 1407000100 is about 1120.5503513325.

Adding to 1407000100 its reverse (10007041), we get a palindrome (1417007141).

The spelling of 1407000100 in words is "one billion, four hundred seven million, one hundred", and thus it is an aban number.