106007376 has 80 divisors (see below), whose sum is σ = 292106304. Its totient is φ = 33011712.

The previous prime is 106007371. The next prime is 106007381. The reversal of 106007376 is 673700601.

It is an interprime number because it is at equal distance from previous prime (106007371) and next prime (106007381).

It is a super-2 number, since 2×106007376² = 22475127532810752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106007371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132610 + ... + 133406.

Almost surely, 2^106007376 is an apocalyptic number.

106007376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106007376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146053152).

106007376 is an abundant number, since it is smaller than the sum of its proper divisors (186098928).

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

106007376 is a wasteful number, since it uses less digits than its factorization.

106007376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 106007376 is about 10295.9883449817. The cubic root of 106007376 is about 473.2733261670.

Adding to 106007376 its reverse (673700601), we get a palindrome (779707977).

The spelling of 106007376 in words is "one hundred six million, seven thousand, three hundred seventy-six".