106292550 has 144 divisors (see below), whose sum is σ = 326764800. Its totient is φ = 22389120.

The previous prime is 106292533. The next prime is 106292567. The reversal of 106292550 is 55292601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106292533) and next prime (106292567).

It is a super-2 number, since 2×106292550² = 22596212371005000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177151 + ... + 177749.

It is an arithmetic number, because the mean of its divisors is an integer number (2269200).

Almost surely, 2^106292550 is an apocalyptic number.

106292550 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 106292550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163382400).

106292550 is an abundant number, since it is smaller than the sum of its proper divisors (220472250).

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

106292550 is a wasteful number, since it uses less digits than its factorization.

106292550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106292550 is about 10309.8278356139. The cubic root of 106292550 is about 473.6973356662.

The spelling of 106292550 in words is "one hundred six million, two hundred ninety-two thousand, five hundred fifty".