106345044401000 has 64 divisors (see below), whose sum is σ = 249228488742480. Its totient is φ = 42472875052800.

The previous prime is 106345044400997. The next prime is 106345044401021. The reversal of 106345044401000 is 104440543601.

It can be written as a sum of positive squares in 8 ways, for example, as 17889025529764 + 88456018871236 = 4229542^2 + 9405106^2 .

It is a super-2 number, since 2×106345044401000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80775059 + ... + 82081058.

Almost surely, 2^{106345044401000} is an apocalyptic number.

106345044401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106345044401000 is an abundant number, since it is smaller than the sum of its proper divisors (142883444341480).

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

106345044401000 is a wasteful number, since it uses less digits than its factorization.

106345044401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162856791 (or 162856777 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 106345044401000 its reverse (104440543601), we get a palindrome (106449484944601).

The spelling of 106345044401000 in words is "one hundred six trillion, three hundred forty-five billion, forty-four million, four hundred one thousand".