106011762 has 32 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 32110848.

The previous prime is 106011749. The next prime is 106011769. The reversal of 106011762 is 267110601.

It is a super-2 number, since 2×106011762² = 22476987364689288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14962 + ... + 20877.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^106011762 is an apocalyptic number.

106011762 is an abundant number, since it is smaller than the sum of its proper divisors (126231438).

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

106011762 is a wasteful number, since it uses less digits than its factorization.

106011762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35890.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 106011762 is about 10296.2013383578. The cubic root of 106011762 is about 473.2798532229.

The spelling of 106011762 in words is "one hundred six million, eleven thousand, seven hundred sixty-two".