106392720 has 240 divisors, whose sum is σ = 391849920. Its totient is φ = 23804928.

The previous prime is 106392691. The next prime is 106392721. The reversal of 106392720 is 27293601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106392720² = 22638821737996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106392721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976026 + ... + 976134.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^106392720 is an apocalyptic number.

106392720 is a gapful number since it is divisible by the number (10) 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 106392720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

106392720 is an abundant number, since it is smaller than the sum of its proper divisors (285457200).

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

106392720 is a wasteful number, since it uses less digits than its factorization.

106392720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 106392720 is about 10314.6846776816. The cubic root of 106392720 is about 473.8460929222.

The spelling of 106392720 in words is "one hundred six million, three hundred ninety-two thousand, seven hundred twenty".