106012830 has 64 divisors (see below), whose sum is σ = 317219328. Its totient is φ = 22028160.

The previous prime is 106012813. The next prime is 106012847. The reversal of 106012830 is 38210601.

It is an interprime number because it is at equal distance from previous prime (106012813) and next prime (106012847).

It is a super-2 number, since 2×106012830² = 22477440249217800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106012797 and 106012806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20637 + ... + 25256.

It is an arithmetic number, because the mean of its divisors is an integer number (4956552).

Almost surely, 2^106012830 is an apocalyptic number.

106012830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106012830 is an abundant number, since it is smaller than the sum of its proper divisors (211206498).

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

106012830 is a wasteful number, since it uses less digits than its factorization.

106012830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45921.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106012830 is about 10296.2532020148. The cubic root of 106012830 is about 473.2814425471.

It can be divided in two parts, 10601 and 2830, that added together give a palindrome (13431).

The spelling of 106012830 in words is "one hundred six million, twelve thousand, eight hundred thirty".