106451800 has 96 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 33684480.

The previous prime is 106451767. The next prime is 106451803. The reversal of 106451800 is 8154601.

It is a super-2 number, since 2×106451800² = 22663971446480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106451803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15276 + ... + 21124.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^106451800 is an apocalyptic number.

106451800 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 106451800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

106451800 is an abundant number, since it is smaller than the sum of its proper divisors (198216200).

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

106451800 is a wasteful number, since it uses less digits than its factorization.

106451800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 106451800 is about 10317.5481583562. The cubic root of 106451800 is about 473.9337857860.

The spelling of 106451800 in words is "one hundred six million, four hundred fifty-one thousand, eight hundred".