106490112 has 72 divisors (see below), whose sum is σ = 284966304. Its totient is φ = 35303424.

The previous prime is 106490101. The next prime is 106490119. The reversal of 106490112 is 211094601.

It is a super-2 number, since 2×106490112² = 22680287907545088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106490119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240163 + ... + 240605.

Almost surely, 2^106490112 is an apocalyptic number.

106490112 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 106490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142483152).

106490112 is an abundant number, since it is smaller than the sum of its proper divisors (178476192).

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

106490112 is an equidigital number, since it uses as much as digits as its factorization.

106490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106490112 is about 10319.4046339893. The cubic root of 106490112 is about 473.9906352189.

The spelling of 106490112 in words is "one hundred six million, four hundred ninety thousand, one hundred twelve".