106627248 has 240 divisors, whose sum is σ = 375531520. Its totient is φ = 27495936.

The previous prime is 106627243. The next prime is 106627249. The reversal of 106627248 is 842726601.

106627248 is a `hidden beast` number, since 1 + 0 + 6 + 627 + 24 + 8 = 666.

It is a super-2 number, since 2×106627248² = 22738740032107008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (106627243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035165 + ... + 1035267.

Almost surely, 2^106627248 is an apocalyptic number.

106627248 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 106627248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187765760).

106627248 is an abundant number, since it is smaller than the sum of its proper divisors (268904272).

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

106627248 is a wasteful number, since it uses less digits than its factorization.

106627248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

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

The square root of 106627248 is about 10326.0470655522. The cubic root of 106627248 is about 474.1940134044.

The spelling of 106627248 in words is "one hundred six million, six hundred twenty-seven thousand, two hundred forty-eight".