106066152 has 64 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 35252352.

The previous prime is 106066123. The next prime is 106066171. The reversal of 106066152 is 251660601.

It is a happy number.

106066152 is a `hidden beast` number, since 1 + 0 + 606 + 6 + 1 + 52 = 666.

It is a super-2 number, since 2×106066152² = 22500057200174208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122473 + ... + 123335.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2^106066152 is an apocalyptic number.

106066152 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 106066152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

106066152 is an abundant number, since it is smaller than the sum of its proper divisors (189421848).

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

106066152 is a wasteful number, since it uses less digits than its factorization.

106066152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106066152 is about 10298.8422650315. The cubic root of 106066152 is about 473.3607791178.

The spelling of 106066152 in words is "one hundred six million, sixty-six thousand, one hundred fifty-two".