106762320 has 320 divisors, whose sum is σ = 439971840. Its totient is φ = 23265792.

The previous prime is 106762309. The next prime is 106762351. The reversal of 106762320 is 23267601.

It is a happy number.

106762320 is a `hidden beast` number, since 10 + 6 + 7 + 623 + 20 = 666.

It is a super-2 number, since 2×106762320² = 22796385943564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347607 + ... + 347913.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^106762320 is an apocalyptic number.

106762320 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 106762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

106762320 is an abundant number, since it is smaller than the sum of its proper divisors (333209520).

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

106762320 is a wasteful number, since it uses less digits than its factorization.

106762320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

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

The square root of 106762320 is about 10332.5853492725. The cubic root of 106762320 is about 474.3941602035.

It can be divided in two parts, 10676 and 2320, that added together give a square (12996 = 114²).

The spelling of 106762320 in words is "one hundred six million, seven hundred sixty-two thousand, three hundred twenty".