106477320 has 32 divisors (see below), whose sum is σ = 319432320. Its totient is φ = 28393920.

The previous prime is 106477313. The next prime is 106477321. The reversal of 106477320 is 23774601.

It is a super-2 number, since 2×106477320² = 22674839348764800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106477321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443536 + ... + 443775.

It is an arithmetic number, because the mean of its divisors is an integer number (9982260).

Almost surely, 2^106477320 is an apocalyptic number.

106477320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106477320 is an abundant number, since it is smaller than the sum of its proper divisors (212955000).

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

106477320 is a wasteful number, since it uses less digits than its factorization.

106477320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887325 (or 887321 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 106477320 is about 10318.7848121763. The cubic root of 106477320 is about 473.9716552689.

The spelling of 106477320 in words is "one hundred six million, four hundred seventy-seven thousand, three hundred twenty".