106344920 has 64 divisors (see below), whose sum is σ = 263723040. Its totient is φ = 38272000.

The previous prime is 106344913. The next prime is 106344967. The reversal of 106344920 is 29443601.

It is a super-2 number, since 2×106344920² = 22618484019612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43244 + ... + 45636.

Almost surely, 2^106344920 is an apocalyptic number.

106344920 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 106344920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

106344920 is an abundant number, since it is smaller than the sum of its proper divisors (157378120).

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

106344920 is a wasteful number, since it uses less digits than its factorization.

106344920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 106344920 is about 10312.3673324800. The cubic root of 106344920 is about 473.7751192813.

The spelling of 106344920 in words is "one hundred six million, three hundred forty-four thousand, nine hundred twenty".