106987392 has 160 divisors (see below), whose sum is σ = 337677120. Its totient is φ = 33509376.

The previous prime is 106987379. The next prime is 106987393. The reversal of 106987392 is 293789601.

It is a super-2 number, since 2×106987392² = 22892604093923328, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106987393) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175953 + ... + 176559.

It is an arithmetic number, because the mean of its divisors is an integer number (2110482).

Almost surely, 2^106987392 is an apocalyptic number.

106987392 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 106987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168838560).

106987392 is an abundant number, since it is smaller than the sum of its proper divisors (230689728).

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

106987392 is an equidigital number, since it uses as much as digits as its factorization.

106987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 106987392 is about 10343.4709841523. The cubic root of 106987392 is about 474.7272924009.

The spelling of 106987392 in words is "one hundred six million, nine hundred eighty-seven thousand, three hundred ninety-two".