106511970 has 64 divisors (see below), whose sum is σ = 279438336. Its totient is φ = 25866240.

The previous prime is 106511969. The next prime is 106511971. The reversal of 106511970 is 79115601.

It is an interprime number because it is at equal distance from previous prime (106511969) and next prime (106511971).

It is a super-2 number, since 2×106511970² = 22689599506561800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106511971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12442 + ... + 19178.

It is an arithmetic number, because the mean of its divisors is an integer number (4366224).

Almost surely, 2^106511970 is an apocalyptic number.

106511970 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 106511970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139719168).

106511970 is an abundant number, since it is smaller than the sum of its proper divisors (172926366).

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

106511970 is a wasteful number, since it uses less digits than its factorization.

106511970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795.

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 106511970 is about 10320.4636523753. The cubic root of 106511970 is about 474.0230632015.

It can be divided in two parts, 10651 and 1970, that added together give a palindrome (12621).

The spelling of 106511970 in words is "one hundred six million, five hundred eleven thousand, nine hundred seventy".