106467816 has 192 divisors, whose sum is σ = 347356800. Its totient is φ = 26449920.

The previous prime is 106467749. The next prime is 106467817. The reversal of 106467816 is 618764601.

It is a happy number.

It is a super-2 number, since 2×106467816² = 22670791687619712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106467817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596756 + ... + 2596796.

It is an arithmetic number, because the mean of its divisors is an integer number (1809150).

Almost surely, 2^106467816 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 106467816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173678400).

106467816 is an abundant number, since it is smaller than the sum of its proper divisors (240888984).

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

106467816 is a wasteful number, since it uses less digits than its factorization.

106467816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106467816 is about 10318.3242825567. The cubic root of 106467816 is about 473.9575528583.

The spelling of 106467816 in words is "one hundred six million, four hundred sixty-seven thousand, eight hundred sixteen".