106304649976 has 64 divisors (see below), whose sum is σ = 235795046400. Its totient is φ = 43978660992.

The previous prime is 106304649973. The next prime is 106304650027. The reversal of 106304649976 is 679946403601.

It is a super-2 number, since 2×106304649976² (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 (106304649973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61155 + ... + 465133.

It is an arithmetic number, because the mean of its divisors is an integer number (3684297600).

Almost surely, 2^106304649976 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 106304649976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117897523200).

106304649976 is an abundant number, since it is smaller than the sum of its proper divisors (129490396424).

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

106304649976 is a wasteful number, since it uses less digits than its factorization.

106304649976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404156 (or 404152 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 106304649976 in words is "one hundred six billion, three hundred four million, six hundred forty-nine thousand, nine hundred seventy-six".