106647342080400 has 405 divisors, whose sum is σ = 406825627259233. Its totient is φ = 25852248787200.

The previous prime is 106647342080359. The next prime is 106647342080417. The reversal of 106647342080400 is 4080243746601.

The square root of 106647342080400 is 10327020.

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

106647342080400 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 7 + 34 + 208 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38393043148944 + 68254298931456 = 6196212^2 + 8261616^2 .

It is a super-2 number, since 2×106647342080400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 6815825377 + ... + 6815841023.

Almost surely, 2^{106647342080400} is an apocalyptic number.

106647342080400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106647342080400 is the 10327020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106647342080400

106647342080400 is an abundant number, since it is smaller than the sum of its proper divisors (300178285178833).

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

106647342080400 is an equidigital number, since it uses as much as digits as its factorization.

106647342080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31340 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 106647342080400 in words is "one hundred six trillion, six hundred forty-seven billion, three hundred forty-two million, eighty thousand, four hundred".