106211976 has 192 divisors, whose sum is σ = 322600320. Its totient is φ = 28892160.

The previous prime is 106211969. The next prime is 106212013. The reversal of 106211976 is 679112601.

It is a super-2 number, since 2×106211976² = 22561967691649152, which 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2590516 + ... + 2590556.

It is an arithmetic number, because the mean of its divisors is an integer number (1680210).

Almost surely, 2^106211976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106211976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

106211976 is an abundant number, since it is smaller than the sum of its proper divisors (216388344).

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

106211976 is a wasteful number, since it uses less digits than its factorization.

106211976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 106211976 is about 10305.9194640750. The cubic root of 106211976 is about 473.5776115733.

The spelling of 106211976 in words is "one hundred six million, two hundred eleven thousand, nine hundred seventy-six".