106161380 has 48 divisors (see below), whose sum is σ = 241296384. Its totient is φ = 39000960.

The previous prime is 106161361. The next prime is 106161383. The reversal of 106161380 is 83161601.

It is a super-2 number, since 2×106161380² = 22540477207008800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (106161383) 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, 57065 + ... + 58895.

It is an arithmetic number, because the mean of its divisors is an integer number (5027008).

Almost surely, 2^106161380 is an apocalyptic number.

106161380 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 106161380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648192).

106161380 is an abundant number, since it is smaller than the sum of its proper divisors (135135004).

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

106161380 is a wasteful number, since it uses less digits than its factorization.

106161380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106161380 is about 10303.4644658969. The cubic root of 106161380 is about 473.5024005361.

The spelling of 106161380 in words is "one hundred six million, one hundred sixty-one thousand, three hundred eighty".