106240512 has 160 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 29491200.

The previous prime is 106240507. The next prime is 106240513. The reversal of 106240512 is 215042601.

It is a super-2 number, since 2×106240512² = 22574092780044288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106240513) 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, 440712 + ... + 440952.

Almost surely, 2^106240512 is an apocalyptic number.

106240512 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 106240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

106240512 is an abundant number, since it is smaller than the sum of its proper divisors (226488192).

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

106240512 is an equidigital number, since it uses as much as digits as its factorization.

106240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106240512 is about 10307.3038181670. The cubic root of 106240512 is about 473.6200198501.

The spelling of 106240512 in words is "one hundred six million, two hundred forty thousand, five hundred twelve".