106475700 has 108 divisors (see below), whose sum is σ = 321007232. Its totient is φ = 27220800.

The previous prime is 106475689. The next prime is 106475701. The reversal of 106475700 is 7574601.

It is a happy number.

It is a super-2 number, since 2×106475700² = 22674149380980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106475701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 995047 + ... + 995153.

Almost surely, 2^106475700 is an apocalyptic number.

106475700 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 106475700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160503616).

106475700 is an abundant number, since it is smaller than the sum of its proper divisors (214531532).

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

106475700 is a wasteful number, since it uses less digits than its factorization.

106475700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 106475700 is about 10318.7063142625. The cubic root of 106475700 is about 473.9692515082.

The spelling of 106475700 in words is "one hundred six million, four hundred seventy-five thousand, seven hundred".