106002250101 has 64 divisors (see below), whose sum is σ = 176039424000. Its totient is φ = 62485395840.

The previous prime is 106002250073. The next prime is 106002250103. The reversal of 106002250101 is 101052200601.

106002250101 is a `hidden beast` number, since 1 + 0 + 600 + 2 + 2 + 50 + 10 + 1 = 666.

It is not a de Polignac number, because 106002250101 - 2¹⁴ = 106002233717 is a prime.

It is a super-2 number, since 2×106002250101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002250103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034905 + ... + 3069633.

It is an arithmetic number, because the mean of its divisors is an integer number (2750616000).

Almost surely, 2^106002250101 is an apocalyptic number.

106002250101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106002250101 is a deficient number, since it is larger than the sum of its proper divisors (70037173899).

106002250101 is a wasteful number, since it uses less digits than its factorization.

106002250101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35031 (or 35025 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 106002250101 its reverse (101052200601), we get a palindrome (207054450702).

The spelling of 106002250101 in words is "one hundred six billion, two million, two hundred fifty thousand, one hundred one".