106105000050621 has 48 divisors (see below), whose sum is σ = 190648556280000. Its totient is φ = 55867708776960.

The previous prime is 106105000050607. The next prime is 106105000050703. The reversal of 106105000050621 is 126050000501601.

It is a happy number.

106105000050621 is a `hidden beast` number, since 106 + 1 + 0 + 50 + 0 + 0 + 0 + 506 + 2 + 1 = 666.

It is not a de Polignac number, because 106105000050621 - 2⁵ = 106105000050589 is a prime.

It is a super-2 number, since 2×106105000050621² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105000050121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424791871 + ... + 2424835628.

It is an arithmetic number, because the mean of its divisors is an integer number (3971844922500).

Almost surely, 2^{106105000050621} is an apocalyptic number.

106105000050621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106105000050621 is a deficient number, since it is larger than the sum of its proper divisors (84543556229379).

106105000050621 is a wasteful number, since it uses less digits than its factorization.

106105000050621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849627546 (or 4849627543 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106105000050621 in words is "one hundred six trillion, one hundred five billion, fifty thousand, six hundred twenty-one".