106829748 has 36 divisors (see below), whose sum is σ = 272441988. Its totient is φ = 35293440.

The previous prime is 106829743. The next prime is 106829773. The reversal of 106829748 is 847928601.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 105637284 = 1092^2 + 10278^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106829748² = 22825190115487008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106829743) 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, 9063 + ... + 17198.

It is an arithmetic number, because the mean of its divisors is an integer number (7567833).

Almost surely, 2^106829748 is an apocalyptic number.

106829748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106829748 is an abundant number, since it is smaller than the sum of its proper divisors (165612240).

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

106829748 is a wasteful number, since it uses less digits than its factorization.

106829748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26384 (or 26379 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 106829748 is about 10335.8477155964. The cubic root of 106829748 is about 474.4940104055.

The spelling of 106829748 in words is "one hundred six million, eight hundred twenty-nine thousand, seven hundred forty-eight".