106119552 has 256 divisors, whose sum is σ = 364654080. Its totient is φ = 26542080.

The previous prime is 106119499. The next prime is 106119569. The reversal of 106119552 is 255911601.

It is a super-2 number, since 2×106119552² = 22522718633361408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093968 + ... + 1094064.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 2^106119552 is an apocalyptic number.

106119552 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 106119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182327040).

106119552 is an abundant number, since it is smaller than the sum of its proper divisors (258534528).

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

106119552 is a wasteful number, since it uses less digits than its factorization.

106119552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 106119552 is about 10301.4344632192. The cubic root of 106119552 is about 473.4402050995.

The spelling of 106119552 in words is "one hundred six million, one hundred nineteen thousand, five hundred fifty-two".