106791252 has 48 divisors (see below), whose sum is σ = 254607360. Its totient is φ = 34830432.

The previous prime is 106791227. The next prime is 106791259. The reversal of 106791252 is 252197601.

It is a super-3 number, since 3×106791252³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106791259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119953 + ... + 120839.

It is an arithmetic number, because the mean of its divisors is an integer number (5304320).

Almost surely, 2^106791252 is an apocalyptic number.

106791252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106791252 is an abundant number, since it is smaller than the sum of its proper divisors (147816108).

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

106791252 is a wasteful number, since it uses less digits than its factorization.

106791252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 106791252 is about 10333.9852912611. The cubic root of 106791252 is about 474.4370090669.

The spelling of 106791252 in words is "one hundred six million, seven hundred ninety-one thousand, two hundred fifty-two".