106235712 has 252 divisors, whose sum is σ = 359944416. Its totient is φ = 30792960.

The previous prime is 106235711. The next prime is 106235743. The reversal of 106235712 is 217532601.

It is a happy number.

It is a super-2 number, since 2×106235712² = 22572053008293888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106235711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4618933 + ... + 4618955.

Almost surely, 2^106235712 is an apocalyptic number.

106235712 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 106235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179972208).

106235712 is an abundant number, since it is smaller than the sum of its proper divisors (253708704).

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

106235712 is an frugal number, since it uses more digits than its factorization.

106235712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106235712 is about 10307.0709709403. The cubic root of 106235712 is about 473.6128869454.

The spelling of 106235712 in words is "one hundred six million, two hundred thirty-five thousand, seven hundred twelve".