106294960 has 80 divisors (see below), whose sum is σ = 264358080. Its totient is φ = 39649280.

The previous prime is 106294933. The next prime is 106294967. The reversal of 106294960 is 69492601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106294960² = 22597237042803200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106294967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74736 + ... + 76144.

It is an arithmetic number, because the mean of its divisors is an integer number (3304476).

Almost surely, 2^106294960 is an apocalyptic number.

106294960 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 106294960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132179040).

106294960 is an abundant number, since it is smaller than the sum of its proper divisors (158063120).

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

106294960 is a wasteful number, since it uses less digits than its factorization.

106294960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 106294960 is about 10309.9447137218. The cubic root of 106294960 is about 473.7009157288.

The spelling of 106294960 in words is "one hundred six million, two hundred ninety-four thousand, nine hundred sixty".