106501686788 has 36 divisors (see below), whose sum is σ = 216828621072. Its totient is φ = 45639029520.

The previous prime is 106501686787. The next prime is 106501686821. The reversal of 106501686788 is 887686105601.

It is a happy number.

It is a super-2 number, since 2×106501686788² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106501686787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584595 + ... + 2625477.

It is an arithmetic number, because the mean of its divisors is an integer number (6023017252).

Almost surely, 2^106501686788 is an apocalyptic number.

It is an amenable number.

106501686788 is an abundant number, since it is smaller than the sum of its proper divisors (110326934284).

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

106501686788 is a wasteful number, since it uses less digits than its factorization.

106501686788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54192 (or 54183 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 106501686788 in words is "one hundred six billion, five hundred one million, six hundred eighty-six thousand, seven hundred eighty-eight".