106787880 has 96 divisors (see below), whose sum is σ = 367497000. Its totient is φ = 26800128.

The previous prime is 106787867. The next prime is 106787893. The reversal of 106787880 is 88787601.

It is an interprime number because it is at equal distance from previous prime (106787867) and next prime (106787893).

It can be written as a sum of positive squares in 4 ways, for example, as 106626276 + 161604 = 10326^2 + 402^2 .

It is a super-2 number, since 2×106787880² = 22807302629788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2605 + ... + 14844.

Almost surely, 2^106787880 is an apocalyptic number.

106787880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106787880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183748500).

106787880 is an abundant number, since it is smaller than the sum of its proper divisors (260709120).

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

106787880 is a wasteful number, since it uses less digits than its factorization.

106787880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17483 (or 17476 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 106787880 is about 10333.8221389765. The cubic root of 106787880 is about 474.4320154668.

The spelling of 106787880 in words is "one hundred six million, seven hundred eighty-seven thousand, eight hundred eighty".