106621400 has 96 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 39782400.

The previous prime is 106621393. The next prime is 106621423. The reversal of 106621400 is 4126601.

It is a happy number.

It is a super-2 number, since 2×106621400² = 22736245875920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179504 + ... + 180096.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2^106621400 is an apocalyptic number.

106621400 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 106621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

106621400 is an abundant number, since it is smaller than the sum of its proper divisors (158540200).

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

106621400 is a wasteful number, since it uses less digits than its factorization.

106621400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106621400 is about 10325.7638942598. The cubic root of 106621400 is about 474.1853441466.

The spelling of 106621400 in words is "one hundred six million, six hundred twenty-one thousand, four hundred".