10007668980100 has 81 divisors (see below), whose sum is σ = 23871188260101. Its totient is φ = 3639025816800.

The previous prime is 10007668980097. The next prime is 10007668980103. The reversal of 10007668980100 is 108986670001.

The square root of 10007668980100 is 3163490.

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

It is an interprime number because it is at equal distance from previous prime (10007668980097) and next prime (10007668980103).

It can be written as a sum of positive squares in only one way, i.e., 3602760832836 + 6404908147264 = 1898094^2 + 2530792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007668980103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 347969521 + ... + 347998279.

Almost surely, 2^{10007668980100} is an apocalyptic number.

10007668980100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10007668980100 is the 3163490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007668980100

10007668980100 is an abundant number, since it is smaller than the sum of its proper divisors (13863519280001).

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

10007668980100 is an frugal number, since it uses more digits than its factorization.

10007668980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57554 (or 28777 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 10007668980100 in words is "ten trillion, seven billion, six hundred sixty-eight million, nine hundred eighty thousand, one hundred".