106339248 has 60 divisors (see below), whose sum is σ = 298332840. Its totient is φ = 35359488.

The previous prime is 106339243. The next prime is 106339249. The reversal of 106339248 is 842933601.

106339248 is a `hidden beast` number, since 10 + 633 + 9 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×106339248² = 22616071330411008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106339243) 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, 88540 + ... + 89732.

It is an arithmetic number, because the mean of its divisors is an integer number (4972214).

Almost surely, 2^106339248 is an apocalyptic number.

106339248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106339248 is an abundant number, since it is smaller than the sum of its proper divisors (191993592).

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

106339248 is a wasteful number, since it uses less digits than its factorization.

106339248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106339248 is about 10312.0923192144. The cubic root of 106339248 is about 473.7666960604.

It can be divided in two parts, 10633 and 9248, that added together give a square (19881 = 141²).

The spelling of 106339248 in words is "one hundred six million, three hundred thirty-nine thousand, two hundred forty-eight".