106858400 has 72 divisors (see below), whose sum is σ = 284606784. Its totient is φ = 38854400.

The previous prime is 106858387. The next prime is 106858421. The reversal of 106858400 is 4858601.

It is a super-2 number, since 2×106858400² = 22837435301120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2729 + ... + 14871.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2^106858400 is an apocalyptic number.

106858400 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 106858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142303392).

106858400 is an abundant number, since it is smaller than the sum of its proper divisors (177748384).

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

106858400 is a wasteful number, since it uses less digits than its factorization.

106858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 106858400 is about 10337.2336725064. The cubic root of 106858400 is about 474.5364267655.

The spelling of 106858400 in words is "one hundred six million, eight hundred fifty-eight thousand, four hundred".