106006280772 has 24 divisors (see below), whose sum is σ = 282683415616. Its totient is φ = 30287508768.

The previous prime is 106006280747. The next prime is 106006280773. The reversal of 106006280772 is 277082600601.

It is a super-2 number, since 2×106006280772² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106006280772.

It is not an unprimeable number, because it can be changed into a prime (106006280773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630989683 + ... + 630989850.

Almost surely, 2^106006280772 is an apocalyptic number.

106006280772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106006280772 is an abundant number, since it is smaller than the sum of its proper divisors (176677134844).

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

106006280772 is a wasteful number, since it uses less digits than its factorization.

106006280772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261979547 (or 1261979545 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 106006280772 in words is "one hundred six billion, six million, two hundred eighty thousand, seven hundred seventy-two".