106870320 has 80 divisors (see below), whose sum is σ = 368116320. Its totient is φ = 28498176.

The previous prime is 106870303. The next prime is 106870327. The reversal of 106870320 is 23078601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106870320² = 22842530593804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106870327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22579 + ... + 26898.

It is an arithmetic number, because the mean of its divisors is an integer number (4601454).

Almost surely, 2^106870320 is an apocalyptic number.

106870320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106870320 is an abundant number, since it is smaller than the sum of its proper divisors (261246000).

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

106870320 is a wasteful number, since it uses less digits than its factorization.

106870320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49499 (or 49487 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106870320 is about 10337.8102129997. The cubic root of 106870320 is about 474.5540708749.

The spelling of 106870320 in words is "one hundred six million, eight hundred seventy thousand, three hundred twenty".