106772 has 6 divisors (see below), whose sum is σ = 186858. Its totient is φ = 53384.

The previous prime is 106759. The next prime is 106781. The reversal of 106772 is 277601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 51076 = 236^2 + 226^2 .

It is a super-2 number, since 2×106772² = 22800519968, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13343 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (31143).

2¹⁰⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

106772 is a deficient number, since it is larger than the sum of its proper divisors (80086).

106772 is a wasteful number, since it uses less digits than its factorization.

106772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26697 (or 26695 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 106772 is about 326.7598506549. The cubic root of 106772 is about 47.4408497336.

It can be divided in two parts, 106 and 772, that added together give a palindrome (878).

The spelling of 106772 in words is "one hundred six thousand, seven hundred seventy-two".