106189272 has 192 divisors, whose sum is σ = 350208000. Its totient is φ = 29719872.

The previous prime is 106189267. The next prime is 106189277. The reversal of 106189272 is 272981601.

106189272 is a `hidden beast` number, since 10 + 618 + 9 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106189267) and next prime (106189277).

It is a super-2 number, since 2×106189272² = 22552322975779968, 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 (106189277) 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, 836073 + ... + 836199.

It is an arithmetic number, because the mean of its divisors is an integer number (1824000).

Almost surely, 2^106189272 is an apocalyptic number.

106189272 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 106189272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175104000).

106189272 is an abundant number, since it is smaller than the sum of its proper divisors (244018728).

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

106189272 is a wasteful number, since it uses less digits than its factorization.

106189272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106189272 is about 10304.8179023212. The cubic root of 106189272 is about 473.5438649949.

The spelling of 106189272 in words is "one hundred six million, one hundred eighty-nine thousand, two hundred seventy-two".