106791552 has 384 divisors, whose sum is σ = 400982400. Its totient is φ = 26542080.

The previous prime is 106791539. The next prime is 106791577. The reversal of 106791552 is 255197601.

106791552 is a `hidden beast` number, since 10 + 6 + 7 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106791552² = 22808871157137408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604652 + ... + 2604692.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^106791552 is an apocalyptic number.

106791552 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 106791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

106791552 is an abundant number, since it is smaller than the sum of its proper divisors (294190848).

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

106791552 is a wasteful number, since it uses less digits than its factorization.

106791552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 106791552 is about 10333.9998064641. Note that the first 3 decimals coincide. The cubic root of 106791552 is about 474.4374533323.

The spelling of 106791552 in words is "one hundred six million, seven hundred ninety-one thousand, five hundred fifty-two".