1040379600100 has 27 divisors (see below), whose sum is σ = 2257645866217. Its totient is φ = 416147760080.

The previous prime is 1040379600097. The next prime is 1040379600101. The reversal of 1040379600100 is 10069730401.

It is a happy number.

The square root of 1040379600100 is 1019990.

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., 374536656036 + 665842944064 = 611994^2 + 815992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1040379600101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10148901 + ... + 10250899.

Almost surely, 2^{1040379600100} is an apocalyptic number.

1040379600100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1040379600100 is the 1019990-th square number.

It is an amenable number.

1040379600100 is an abundant number, since it is smaller than the sum of its proper divisors (1217266266117).

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

1040379600100 is an frugal number, since it uses more digits than its factorization.

1040379600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204012 (or 102006 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 1040379600100 in words is "one trillion, forty billion, three hundred seventy-nine million, six hundred thousand, one hundred".