106168788 has 54 divisors (see below), whose sum is σ = 294998522. Its totient is φ = 32171040.

The previous prime is 106168787. The next prime is 106168801. The reversal of 106168788 is 887861601.

It can be written as a sum of positive squares in only one way, i.e., 82955664 + 23213124 = 9108^2 + 4818^2 .

It is a super-2 number, since 2×106168788² = 22543623090777888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106168781) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7831 + ... + 16542.

Almost surely, 2^106168788 is an apocalyptic number.

106168788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106168788 is an abundant number, since it is smaller than the sum of its proper divisors (188829734).

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

106168788 is a wasteful number, since it uses less digits than its factorization.

106168788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405 (or 24389 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 106168788 is about 10303.8239503594. The cubic root of 106168788 is about 473.5134140334.

The spelling of 106168788 in words is "one hundred six million, one hundred sixty-eight thousand, seven hundred eighty-eight".