106285762776 has 64 divisors (see below), whose sum is σ = 272533248000. Its totient is φ = 34525883648.

The previous prime is 106285762763. The next prime is 106285762799. The reversal of 106285762776 is 677267582601.

It is a super-2 number, since 2×106285762776² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60625 + ... + 465023.

It is an arithmetic number, because the mean of its divisors is an integer number (4258332000).

Almost surely, 2^106285762776 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 106285762776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136266624000).

106285762776 is an abundant number, since it is smaller than the sum of its proper divisors (166247485224).

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

106285762776 is a wasteful number, since it uses less digits than its factorization.

106285762776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404688 (or 404684 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 106285762776 in words is "one hundred six billion, two hundred eighty-five million, seven hundred sixty-two thousand, seven hundred seventy-six".