106651272 has 128 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 27502848.

The previous prime is 106651231. The next prime is 106651273. The reversal of 106651272 is 272156601.

It is a super-2 number, since 2×106651272² = 22748987638435968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106651273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102129 + ... + 103167.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^106651272 is an apocalyptic number.

106651272 is a gapful number since it is divisible by the number (12) 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 106651272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

106651272 is an abundant number, since it is smaller than the sum of its proper divisors (228811128).

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

106651272 is a wasteful number, since it uses less digits than its factorization.

106651272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106651272 is about 10327.2102718982. The cubic root of 106651272 is about 474.2296240065.

The spelling of 106651272 in words is "one hundred six million, six hundred fifty-one thousand, two hundred seventy-two".