106173760 has 224 divisors, whose sum is σ = 327720960. Its totient is φ = 31795200.

The previous prime is 106173713. The next prime is 106173779. The reversal of 106173760 is 67371601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106173760² = 22545734625075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763771 + ... + 763909.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^106173760 is an apocalyptic number.

106173760 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 106173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

106173760 is an abundant number, since it is smaller than the sum of its proper divisors (221547200).

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

106173760 is a wasteful number, since it uses less digits than its factorization.

106173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 106173760 is about 10304.0652171849. The cubic root of 106173760 is about 473.5208056343.

The spelling of 106173760 in words is "one hundred six million, one hundred seventy-three thousand, seven hundred sixty".