106680072 has 32 divisors (see below), whose sum is σ = 278297280. Its totient is φ = 34013760.

The previous prime is 106680071. The next prime is 106680097. The reversal of 106680072 is 270086601.

It is a happy number.

It is a super-2 number, since 2×106680072² = 22761275523850368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106680071) 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, 96079 + ... + 97182.

It is an arithmetic number, because the mean of its divisors is an integer number (8696790).

Almost surely, 2^106680072 is an apocalyptic number.

106680072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106680072 is an abundant number, since it is smaller than the sum of its proper divisors (171617208).

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

106680072 is a wasteful number, since it uses less digits than its factorization.

106680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193293 (or 193289 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106680072 is about 10328.6045524069. The cubic root of 106680072 is about 474.2723069916.

The spelling of 106680072 in words is "one hundred six million, six hundred eighty thousand, seventy-two".