1405500100 has 81 divisors (see below), whose sum is σ = 3207986733. Its totient is φ = 534457440.

The previous prime is 1405500073. The next prime is 1405500113. The reversal of 1405500100 is 10055041.

It is a happy number.

The square root of 1405500100 is 37490.

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

It can be written as a sum of positive squares in only one way, i.e., 505980036 + 899520064 = 22494^2 + 29992^2 .

It is a super-2 number, since 2×1405500100² = 3950861062200020000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8622619 + ... + 8622781.

Almost surely, 2^1405500100 is an apocalyptic number.

1405500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1405500100 is the 37490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405500100

1405500100 is an abundant number, since it is smaller than the sum of its proper divisors (1802486633).

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

1405500100 is a wasteful number, since it uses less digits than its factorization.

1405500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The cubic root of 1405500100 is about 1120.1520042418.

Multiplying 1405500100 by its sum of digits (16), we get a square (22488001600 = 149960²).

Multiplying 1405500100 by its product of nonzero digits (100), we get a square (140550010000 = 374900²).

1405500100 divided by its product of nonzero digits (100) gives a square (14055001 = 3749²).

Adding to 1405500100 its reverse (10055041), we get a palindrome (1415555141).

The spelling of 1405500100 in words is "one billion, four hundred five million, five hundred thousand, one hundred".