106761816 has 96 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 29847744.

The previous prime is 106761803. The next prime is 106761833. The reversal of 106761816 is 618167601.

It is a super-2 number, since 2×106761816² = 22796170711235712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21435 + ... + 25941.

It is an arithmetic number, because the mean of its divisors is an integer number (3516240).

Almost surely, 2^106761816 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 106761816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

106761816 is an abundant number, since it is smaller than the sum of its proper divisors (230797224).

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

106761816 is a wasteful number, since it uses less digits than its factorization.

106761816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106761816 is about 10332.5609603815. The cubic root of 106761816 is about 474.3934137009.

The spelling of 106761816 in words is "one hundred six million, seven hundred sixty-one thousand, eight hundred sixteen".