106209752 has 64 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 46816000.

The previous prime is 106209743. The next prime is 106209757. The reversal of 106209752 is 257902601.

It is a super-2 number, since 2×106209752² = 22561022839803008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106209757) 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, 555977 + ... + 556167.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2^106209752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106209752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

106209752 is an abundant number, since it is smaller than the sum of its proper divisors (117739048).

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

106209752 is a wasteful number, since it uses less digits than its factorization.

106209752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 106209752 is about 10305.8115643553. The cubic root of 106209752 is about 473.5743060956.

The spelling of 106209752 in words is "one hundred six million, two hundred nine thousand, seven hundred fifty-two".