106150140 has 72 divisors (see below), whose sum is σ = 323498448. Its totient is φ = 28174080.

The previous prime is 106150139. The next prime is 106150141. The reversal of 106150140 is 41051601.

106150140 is a `hidden beast` number, since 10 + 615 + 0 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (106150139) and next prime (106150141).

It is a super-2 number, since 2×106150140² = 22535704444039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106150141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40675 + ... + 43205.

It is an arithmetic number, because the mean of its divisors is an integer number (4493034).

Almost surely, 2^106150140 is an apocalyptic number.

106150140 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 106150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161749224).

106150140 is an abundant number, since it is smaller than the sum of its proper divisors (217348308).

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

106150140 is a wasteful number, since it uses less digits than its factorization.

106150140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106150140 is about 10302.9190038552. The cubic root of 106150140 is about 473.4856890138.

The spelling of 106150140 in words is "one hundred six million, one hundred fifty thousand, one hundred forty".