106022400 has 240 divisors, whose sum is σ = 383600448. Its totient is φ = 25600000.

The previous prime is 106022377. The next prime is 106022429. The reversal of 106022400 is 4220601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106022400² = 22481498603520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106022400.

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, 422275 + ... + 422525.

Almost surely, 2^106022400 is an apocalyptic number.

106022400 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 106022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191800224).

106022400 is an abundant number, since it is smaller than the sum of its proper divisors (277578048).

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

106022400 is a wasteful number, since it uses less digits than its factorization.

106022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106022400 is about 10296.7179236881. The cubic root of 106022400 is about 473.2956834873.

The spelling of 106022400 in words is "one hundred six million, twenty-two thousand, four hundred".