106111152 has 60 divisors (see below), whose sum is σ = 339390480. Its totient is φ = 30317184.

The previous prime is 106111139. The next prime is 106111177. The reversal of 106111152 is 251111601.

It is a happy number.

106111152 is a `hidden beast` number, since 1 + 0 + 611 + 1 + 1 + 52 = 666.

It is a super-2 number, since 2×106111152² = 22519153157534208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51627 + ... + 53642.

It is an arithmetic number, because the mean of its divisors is an integer number (5656508).

Almost surely, 2^106111152 is an apocalyptic number.

106111152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106111152 is an abundant number, since it is smaller than the sum of its proper divisors (233279328).

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

106111152 is a wasteful number, since it uses less digits than its factorization.

106111152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105290 (or 105281 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 106111152 is about 10301.0267449415. The cubic root of 106111152 is about 473.4277128912.

Adding to 106111152 its reverse (251111601), we get a palindrome (357222753).

The spelling of 106111152 in words is "one hundred six million, one hundred eleven thousand, one hundred fifty-two".