106437312 has 84 divisors (see below), whose sum is σ = 312593736. Its totient is φ = 34606080.

The previous prime is 106437257. The next prime is 106437329. The reversal of 106437312 is 213734601.

106437312 is a `hidden beast` number, since 1 + 0 + 643 + 7 + 3 + 12 = 666.

It is a super-2 number, since 2×106437312² = 22657802771570688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21363 + ... + 25869.

It is an arithmetic number, because the mean of its divisors is an integer number (3721354).

Almost surely, 2^106437312 is an apocalyptic number.

106437312 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 106437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156296868).

106437312 is an abundant number, since it is smaller than the sum of its proper divisors (206156424).

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

106437312 is a wasteful number, since it uses less digits than its factorization.

106437312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106437312 is about 10316.8460296740. The cubic root of 106437312 is about 473.9122841480.

It can be divided in two parts, 10643 and 7312, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 106437312 in words is "one hundred six million, four hundred thirty-seven thousand, three hundred twelve".