106674048 has 192 divisors, whose sum is σ = 350859600. Its totient is φ = 30818304.

The previous prime is 106674047. The next prime is 106674053. The reversal of 106674048 is 840476601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106674048² = 22758705033412608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106674047) 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, 254383 + ... + 254801.

Almost surely, 2^106674048 is an apocalyptic number.

106674048 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 106674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

106674048 is an abundant number, since it is smaller than the sum of its proper divisors (244185552).

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

106674048 is a wasteful number, since it uses less digits than its factorization.

106674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106674048 is about 10328.3129309680. The cubic root of 106674048 is about 474.2633797693.

The spelling of 106674048 in words is "one hundred six million, six hundred seventy-four thousand, forty-eight".