106025663060640 has 144 divisors (see below), whose sum is σ = 363091066255008. Its totient is φ = 28173603644928.

The previous prime is 106025663060621. The next prime is 106025663060657. The reversal of 106025663060640 is 46060366520601.

106025663060640 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 5 + 6 + 6 + 30 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106025663060640² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129678934 + ... + 130493973.

It is an arithmetic number, because the mean of its divisors is an integer number (2521465737882).

Almost surely, 2^{106025663060640} is an apocalyptic number.

106025663060640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106025663060640 is an abundant number, since it is smaller than the sum of its proper divisors (257065403194368).

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

106025663060640 is a wasteful number, since it uses less digits than its factorization.

106025663060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260173211 (or 260173200 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 106025663060640 in words is "one hundred six trillion, twenty-five billion, six hundred sixty-three million, sixty thousand, six hundred forty".