106602245849088 has 1020 divisors, whose sum is σ = 369140100635592. Its totient is φ = 30398679613440.

The previous prime is 106602245849039. The next prime is 106602245849101. The reversal of 106602245849088 is 880948542206601.

106602245849088 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 22 + 45 + 8 + 490 + 88 = 666.

It is a super-2 number, since 2×106602245849088² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16875451306 + ... + 16875457622.

Almost surely, 2^{106602245849088} is an apocalyptic number.

106602245849088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106602245849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184570050317796).

106602245849088 is an abundant number, since it is smaller than the sum of its proper divisors (262537854786504).

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

106602245849088 is an frugal number, since it uses more digits than its factorization.

106602245849088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 106602245849088 in words is "one hundred six trillion, six hundred two billion, two hundred forty-five million, eight hundred forty-nine thousand, eighty-eight".