132777106 has 64 divisors (see below), whose sum is σ = 269547264. Its totient is φ = 47462400.

The previous prime is 132777101. The next prime is 132777107. The reversal of 132777106 is 601777231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (132777101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106720 + ... + 107956.

It is an arithmetic number, because the mean of its divisors is an integer number (4211676).

Almost surely, 2^132777106 is an apocalyptic number.

132777106 is an abundant number, since it is smaller than the sum of its proper divisors (136770158).

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

132777106 is a wasteful number, since it uses less digits than its factorization.

132777106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315.

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 132777106 is about 11522.8948619694. The cubic root of 132777106 is about 510.1615610147.

The spelling of 132777106 in words is "one hundred thirty-two million, seven hundred seventy-seven thousand, one hundred six".