106787380 has 48 divisors (see below), whose sum is σ = 257644800. Its totient is φ = 36419328.

The previous prime is 106787357. The next prime is 106787389. The reversal of 106787380 is 83787601.

It is a super-2 number, since 2×106787380² = 22807089054528800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106787389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25944 + ... + 29776.

It is an arithmetic number, because the mean of its divisors is an integer number (5367600).

Almost surely, 2^106787380 is an apocalyptic number.

106787380 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 106787380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128822400).

106787380 is an abundant number, since it is smaller than the sum of its proper divisors (150857420).

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

106787380 is a wasteful number, since it uses less digits than its factorization.

106787380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 106787380 is about 10333.7979465441. The cubic root of 106787380 is about 474.4312750070.

The spelling of 106787380 in words is "one hundred six million, seven hundred eighty-seven thousand, three hundred eighty".