106361752 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 42504000.

The previous prime is 106361737. The next prime is 106361777. The reversal of 106361752 is 257163601.

It is a super-2 number, since 2×106361752² = 22625644577019008, 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 23 ways as a sum of consecutive naturals, for example, 423627 + ... + 423877.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^106361752 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 106361752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

106361752 is an abundant number, since it is smaller than the sum of its proper divisors (141848168).

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

106361752 is a wasteful number, since it uses less digits than its factorization.

106361752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 106361752 is about 10313.1834076584. The cubic root of 106361752 is about 473.8001139311.

The spelling of 106361752 in words is "one hundred six million, three hundred sixty-one thousand, seven hundred fifty-two".