106123788 has 36 divisors (see below), whose sum is σ = 276913728. Its totient is φ = 34233120.

The previous prime is 106123763. The next prime is 106123793. The reversal of 106123788 is 887321601.

106123788 is a `hidden beast` number, since 1 + 0 + 612 + 37 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106123788² = 22524516758937888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46431 + ... + 48662.

It is an arithmetic number, because the mean of its divisors is an integer number (7692048).

Almost surely, 2^106123788 is an apocalyptic number.

106123788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106123788 is an abundant number, since it is smaller than the sum of its proper divisors (170789940).

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

106123788 is a wasteful number, since it uses less digits than its factorization.

106123788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95134 (or 95129 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 106123788 is about 10301.6400636015. The cubic root of 106123788 is about 473.4465044917.

It can be divided in two parts, 10612 and 3788, that added together give a square (14400 = 120²).

The spelling of 106123788 in words is "one hundred six million, one hundred twenty-three thousand, seven hundred eighty-eight".