106545150 has 72 divisors (see below), whose sum is σ = 291175560. Its totient is φ = 27923520.

The previous prime is 106545139. The next prime is 106545161. The reversal of 106545150 is 51545601.

It is a happy number.

106545150 is a `hidden beast` number, since 1 + 0 + 654 + 5 + 1 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106545139) and next prime (106545161).

It is a super-2 number, since 2×106545150² = 22703737977045000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24544 + ... + 28556.

It is an arithmetic number, because the mean of its divisors is an integer number (4044105).

Almost surely, 2^106545150 is an apocalyptic number.

106545150 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 106545150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145587780).

106545150 is an abundant number, since it is smaller than the sum of its proper divisors (184630410).

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

106545150 is a wasteful number, since it uses less digits than its factorization.

106545150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106545150 is about 10322.0710131252. The cubic root of 106545150 is about 474.0722797429.

The spelling of 106545150 in words is "one hundred six million, five hundred forty-five thousand, one hundred fifty".