107433172900 has 81 divisors (see below), whose sum is σ = 236894897001. Its totient is φ = 42290196480.

The previous prime is 107433172871. The next prime is 107433172933. The reversal of 107433172900 is 9271334701.

It is a happy number.

The square root of 107433172900 is 327770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 49637166436 + 57796006464 = 222794^2 + 240408^2 .

It is a super-2 number, since 2×107433172900² (a number of 23 digits) contains 22 as substring.

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 107433172900.

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, 239271876 + ... + 239272324.

Almost surely, 2^107433172900 is an apocalyptic number.

107433172900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107433172900 is the 327770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107433172900

107433172900 is an abundant number, since it is smaller than the sum of its proper divisors (129461724101).

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

107433172900 is an frugal number, since it uses more digits than its factorization.

107433172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 107433172900 in words is "one hundred seven billion, four hundred thirty-three million, one hundred seventy-two thousand, nine hundred".