106150410 has 96 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 27216000.

The previous prime is 106150399. The next prime is 106150427. The reversal of 106150410 is 14051601.

106150410 is a `hidden beast` number, since 10 + 615 + 0 + 41 + 0 = 666.

It is a super-2 number, since 2×106150410² = 22535819086336200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422785 + ... + 423035.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^106150410 is an apocalyptic number.

106150410 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 106150410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

106150410 is an abundant number, since it is smaller than the sum of its proper divisors (180669942).

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

106150410 is a wasteful number, since it uses less digits than its factorization.

106150410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

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

The square root of 106150410 is about 10302.9321069296. The cubic root of 106150410 is about 473.4860904610.

The spelling of 106150410 in words is "one hundred six million, one hundred fifty thousand, four hundred ten".