106370550 has 384 divisors, whose sum is σ = 374976000. Its totient is φ = 21772800.

The previous prime is 106370507. The next prime is 106370557. The reversal of 106370550 is 55073601.

106370550 is a `hidden beast` number, since 106 + 3 + 7 + 0 + 550 = 666.

It is a super-2 number, since 2×106370550² = 22629387814605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106370557) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3667936 + ... + 3667964.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^106370550 is an apocalyptic number.

106370550 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 106370550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

106370550 is an abundant number, since it is smaller than the sum of its proper divisors (268605450).

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

106370550 is a wasteful number, since it uses less digits than its factorization.

106370550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 106370550 is about 10313.6099402682. The cubic root of 106370550 is about 473.8131774569.

The spelling of 106370550 in words is "one hundred six million, three hundred seventy thousand, five hundred fifty".