107669296900 has 243 divisors, whose sum is σ = 272778789087. Its totient is φ = 36855561600.

The previous prime is 107669296873. The next prime is 107669296913. The reversal of 107669296900 is 9692966701.

The square root of 107669296900 is 328130.

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 13022004996 + 94647291904 = 114114^2 + 307648^2 .

It is a super-2 number, since 2×107669296900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 685791622 + ... + 685791778.

Almost surely, 2^107669296900 is an apocalyptic number.

107669296900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107669296900 is the 328130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107669296900

107669296900 is an abundant number, since it is smaller than the sum of its proper divisors (165109492187).

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

107669296900 is a wasteful number, since it uses less digits than its factorization.

107669296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 107669296900 in words is "one hundred seven billion, six hundred sixty-nine million, two hundred ninety-six thousand, nine hundred".