106770 has 16 divisors (see below), whose sum is σ = 256320. Its totient is φ = 28464.

The previous prime is 106759. The next prime is 106781. The reversal of 106770 is 77601.

It is an interprime number because it is at equal distance from previous prime (106759) and next prime (106781).

It is a super-2 number, since 2×106770² = 22799665800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106770.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (16020).

2¹⁰⁶⁷⁷⁰ is an apocalyptic number.

106770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106770 is an abundant number, since it is smaller than the sum of its proper divisors (149550).

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

106770 is a wasteful number, since it uses less digits than its factorization.

106770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 106770 is about 326.7567902890. The cubic root of 106770 is about 47.4405535190.

The spelling of 106770 in words is "one hundred six thousand, seven hundred seventy".