106026976 has 72 divisors (see below), whose sum is σ = 232265880. Its totient is φ = 47604480.

The previous prime is 106026919. The next prime is 106026979. The reversal of 106026976 is 679620601.

It is a super-2 number, since 2×106026976² = 22483439279409152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106026979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538110 + ... + 538306.

It is an arithmetic number, because the mean of its divisors is an integer number (3225915).

Almost surely, 2^106026976 is an apocalyptic number.

106026976 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 106026976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116132940).

106026976 is an abundant number, since it is smaller than the sum of its proper divisors (126238904).

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

106026976 is a wasteful number, since it uses less digits than its factorization.

106026976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 106026976 is about 10296.9401280186. The cubic root of 106026976 is about 473.3024926455.

It can be divided in two parts, 10602 and 6976, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 106026976 in words is "one hundred six million, twenty-six thousand, nine hundred seventy-six".