106683948 has 72 divisors (see below), whose sum is σ = 309370880. Its totient is φ = 30365280.

The previous prime is 106683923. The next prime is 106683949. The reversal of 106683948 is 849386601.

It is a super-2 number, since 2×106683948² = 22762929521733408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106683949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82773 + ... + 84051.

Almost surely, 2^106683948 is an apocalyptic number.

106683948 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 106683948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154685440).

106683948 is an abundant number, since it is smaller than the sum of its proper divisors (202686932).

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

106683948 is a wasteful number, since it uses less digits than its factorization.

106683948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1622 counting only the distinct ones).

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

The square root of 106683948 is about 10328.7921849556. The cubic root of 106683948 is about 474.2780508235.

The spelling of 106683948 in words is "one hundred six million, six hundred eighty-three thousand, nine hundred forty-eight".