106938468 has 252 divisors, whose sum is σ = 358434048. Its totient is φ = 27293760.

The previous prime is 106938467. The next prime is 106938493. The reversal of 106938468 is 864839601.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×106938468² = 22871671876374048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106938467) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 3449613 + ... + 3449643.

Almost surely, 2^106938468 is an apocalyptic number.

106938468 is a gapful number since it is divisible by the number (18) 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 106938468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179217024).

106938468 is an abundant number, since it is smaller than the sum of its proper divisors (251495580).

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

106938468 is a wasteful number, since it uses less digits than its factorization.

106938468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106938468 is about 10341.1057435847. The cubic root of 106938468 is about 474.6549190780.

The spelling of 106938468 in words is "one hundred six million, nine hundred thirty-eight thousand, four hundred sixty-eight".