106863030 has 128 divisors (see below), whose sum is σ = 308620800. Its totient is φ = 26220672.

The previous prime is 106863013. The next prime is 106863047. The reversal of 106863030 is 30368601.

It is an interprime number because it is at equal distance from previous prime (106863013) and next prime (106863047).

It is a super-2 number, since 2×106863030² = 22839414361561800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106862985 and 106863003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189529 + ... + 190091.

It is an arithmetic number, because the mean of its divisors is an integer number (2411100).

Almost surely, 2^106863030 is an apocalyptic number.

106863030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106863030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154310400).

106863030 is an abundant number, since it is smaller than the sum of its proper divisors (201757770).

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

106863030 is a wasteful number, since it uses less digits than its factorization.

106863030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106863030 is about 10337.4576178091. The cubic root of 106863030 is about 474.5432802961.

The spelling of 106863030 in words is "one hundred six million, eight hundred sixty-three thousand, thirty".