106507440 has 160 divisors (see below), whose sum is σ = 395183040. Its totient is φ = 26210304.

The previous prime is 106507409. The next prime is 106507441. The reversal of 106507440 is 44705601.

106507440 is a `hidden beast` number, since 1 + 0 + 650 + 7 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×106507440² = 22687669550707200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106507441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26184 + ... + 29976.

It is an arithmetic number, because the mean of its divisors is an integer number (2469894).

Almost surely, 2^106507440 is an apocalyptic number.

106507440 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 106507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197591520).

106507440 is an abundant number, since it is smaller than the sum of its proper divisors (288675600).

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

106507440 is a wasteful number, since it uses less digits than its factorization.

106507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106507440 is about 10320.2441831577. The cubic root of 106507440 is about 474.0163429712.

The spelling of 106507440 in words is "one hundred six million, five hundred seven thousand, four hundred forty".