106173400 has 48 divisors (see below), whose sum is σ = 250363440. Its totient is φ = 41865600.

The previous prime is 106173373. The next prime is 106173401. The reversal of 106173400 is 4371601.

It is a super-2 number, since 2×106173400² = 22545581735120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106173401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10462 + ... + 17938.

It is an arithmetic number, because the mean of its divisors is an integer number (5215905).

Almost surely, 2^106173400 is an apocalyptic number.

106173400 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 106173400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125181720).

106173400 is an abundant number, since it is smaller than the sum of its proper divisors (144190040).

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

106173400 is a wasteful number, since it uses less digits than its factorization.

106173400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 106173400 is about 10304.0477483366. The cubic root of 106173400 is about 473.5202704497.

The spelling of 106173400 in words is "one hundred six million, one hundred seventy-three thousand, four hundred".