106733640 has 192 divisors, whose sum is σ = 366292800. Its totient is φ = 24800256.

The previous prime is 106733609. The next prime is 106733657. The reversal of 106733640 is 46337601.

It is a super-2 number, since 2×106733640² = 22784139815299200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106733598 and 106733607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385182 + ... + 385458.

It is an arithmetic number, because the mean of its divisors is an integer number (1907775).

Almost surely, 2^106733640 is an apocalyptic number.

106733640 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 106733640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183146400).

106733640 is an abundant number, since it is smaller than the sum of its proper divisors (259559160).

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

106733640 is a wasteful number, since it uses less digits than its factorization.

106733640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 106733640 is about 10331.1974136593. The cubic root of 106733640 is about 474.3516769160.

The spelling of 106733640 in words is "one hundred six million, seven hundred thirty-three thousand, six hundred forty".