109283136400 has 45 divisors (see below), whose sum is σ = 262568620531. Its totient is φ = 43710609920.

The previous prime is 109283136373. The next prime is 109283136409. The reversal of 109283136400 is 4631382901.

The square root of 109283136400 is 330580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11549371024 + 97733765376 = 107468^2 + 312624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109283136400.

It is not an unprimeable number, because it can be changed into a prime (109283136409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6603336 + ... + 6619864.

Almost surely, 2^109283136400 is an apocalyptic number.

109283136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109283136400 is the 330580-th square number.

It is an amenable number.

109283136400 is an abundant number, since it is smaller than the sum of its proper divisors (153285484131).

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

109283136400 is an frugal number, since it uses more digits than its factorization.

109283136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33076 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 109283136400 in words is "one hundred nine billion, two hundred eighty-three million, one hundred thirty-six thousand, four hundred".